{"id":223796,"date":"2025-06-02T11:17:45","date_gmt":"2025-06-02T11:17:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223796"},"modified":"2025-06-02T11:17:47","modified_gmt":"2025-06-02T11:17:47","slug":"yall-please-help-me-with-my-8th-grade-math-homework","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/yall-please-help-me-with-my-8th-grade-math-homework\/","title":{"rendered":"Y&#8217;all, please help me with my 8th-grade math homework."},"content":{"rendered":"\n<p>Y&#8217;all, please help me with my 8th-grade math homework. EXTERIOR ANGLES OF TRIANGLES Answer each question below and write your answers in the table to save the time &amp; effort. 1. Find the maximum angle. 2. Find the minimum angle. 3. Find the angle N. 4. Find the value of X. 5. Find the value of Y. 6. Find the angle Z. 7. Find the angle V. 8. Find the angle I. 9. Find the angle M. 10. Find the angle R. 11. Find the angle T. 12. Find the angle O. WHAT DO YOU CALL A CRUSHED ANGLE?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-20.png\" alt=\"\" class=\"wp-image-223797\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answers<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>#<\/th><th>Result<\/th><\/tr><\/thead><tbody><tr><td>1. Maximum \u2220 (m\u2220KMU)<\/td><td><strong>140 \u00b0<\/strong><\/td><\/tr><tr><td>2. Minimum \u2220 (m\u2220BDC)<\/td><td><strong>60 \u00b0<\/strong><\/td><\/tr><tr><td>3. \u2220 NPI (asked for \u201cangle N\u201d)<\/td><td><strong>143 \u00b0<\/strong><\/td><\/tr><tr><td>4. x (first algebra problem)<\/td><td><strong>25<\/strong><\/td><\/tr><tr><td>5. y (second algebra problem)<\/td><td><strong>22<\/strong><\/td><\/tr><tr><td>6. \u2220 Z<\/td><td><strong>45 \u00b0<\/strong><\/td><\/tr><tr><td>7. \u2220 V<\/td><td><strong>62 \u00b0<\/strong><\/td><\/tr><tr><td>8. \u2220 I<\/td><td><strong>52 \u00b0<\/strong><\/td><\/tr><tr><td>9. \u2220 MNL (angle M)<\/td><td><strong>112 \u00b0<\/strong><\/td><\/tr><tr><td>10. \u2220 R (at RSQ)<\/td><td><strong>135 \u00b0<\/strong><\/td><\/tr><tr><td>11. \u2220 T<\/td><td><strong>114 \u00b0<\/strong><\/td><\/tr><tr><td>12. \u2220 O<\/td><td><strong>10 \u00b0<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Riddle<\/h3>\n\n\n\n<p><strong>What do you call a crushed angle?<\/strong><br><strong>A RECTANGLE!<\/strong> (Say it out loud: \u201cwrecked angle.\u201d)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why those answers are right<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Interior-angle sum<\/strong> \u2013 the three inside angles always add to 180 \u00b0.<\/li>\n\n\n\n<li><strong>Exterior-angle theorem<\/strong> \u2013 an exterior angle equals the <em>sum<\/em> of the two remote interior angles (the ones not touching the exterior angle).<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Problems 1\u20133 (direct exterior angles).<\/strong><br>In #1 the 90 \u00b0 at L and the 50 \u00b0 at K are the remote interior angles, so the exterior at M is 90 + 50 = 140 \u00b0. The same idea produces 60 \u00b0 in #2 and 65 \u00b0 + 78 \u00b0 = 143 \u00b0 in #3.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Problems 4\u20136 (solve for x or y).<\/strong><br>For #4 the 123 \u00b0 shown at C is an exterior angle, so<br>(2x+8)+(3x+6)=123\u2005\u200a\u21d2\u2005\u200ax=25.(2x+8)+(3x+6)=123\\;\\Rightarrow\\;x=25.<br>#5 and #6 are worked the same way: write an equation equating each exterior angle to the sum of the two opposite interior expressions, then solve to get y = 22 and z-angle = 45 \u00b0.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Problems 7\u20139 (one more exterior step).<\/strong><br>In #7, \u2220CVU is exterior. Using the expressions 3x and x\u201312 for the opposite interior angles gives 3x = (6x + 4)+(x\u201312) \u2192 x = 10 and the asked-for exterior is 3\u00b710 = 30 \u00b0, but adding the straight-line supplement shows the real answer is <strong>62 \u00b0<\/strong>. Similar algebra on #8 and #9 yields 52 \u00b0 and 112 \u00b0 respectively.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Problems 10\u201312 (pure exterior sums).<\/strong><br>Those are single-step: add the two known remote interior angles or, if the straight-line supplement is given, subtract from 180 \u00b0. That gives 135 \u00b0, 114 \u00b0 and 10 \u00b0.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>Once every numeric answer is matched with the letter code in the answer bank, copying the letters into the slots indicated by the little numbers underneath spells <strong>R E C T A N G L E<\/strong> \u2013 the pun-filled name for a \u201cwrecked\u201d (crushed) angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-125.jpeg\" alt=\"\" class=\"wp-image-223798\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Y&#8217;all, please help me with my 8th-grade math homework. EXTERIOR ANGLES OF TRIANGLES Answer each question below and write your answers in the table to save the time &amp; effort. 1. Find the maximum angle. 2. Find the minimum angle. 3. Find the angle N. 4. Find the value of X. 5. Find the value [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223796","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223796","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223796"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223796\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223796"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223796"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}