{"id":228002,"date":"2025-06-06T16:51:47","date_gmt":"2025-06-06T16:51:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228002"},"modified":"2025-06-06T16:51:50","modified_gmt":"2025-06-06T16:51:50","slug":"what-is-the-measure-of-angle-l-in-parallelogram-lmno","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/what-is-the-measure-of-angle-l-in-parallelogram-lmno\/","title":{"rendered":"What is the measure of angle L in parallelogram LMNO"},"content":{"rendered":"\n
What is the measure of angle L in parallelogram LMNO What is the measure of angle L in parallelogram LMNO<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Correct Answer:<\/strong><\/h3>\n\n\n\n
The measure of angle L depends on additional information.<\/strong> However, if angle L is given or if another angle is known<\/strong>, we can find it using the properties of parallelograms.<\/p>\n\n\n\n
If no angle is given<\/strong>, we can only say that opposite angles are equal and adjacent angles are supplementary<\/strong>.<\/p>\n\n\n\n
But for the sake of a typical problem, let’s assume:<\/p>\n\n\n\n
\n
If angle M = 70\u00b0<\/strong>, then angle L = 110\u00b0<\/strong>, because adjacent angles in a parallelogram are supplementary.<\/p>\n<\/blockquote>\n\n\n\n\n\n\n\n
Explanation<\/strong><\/h3>\n\n\n\n
A parallelogram<\/strong> is a quadrilateral with opposite sides that are parallel and equal in length<\/strong>. In parallelogram LMNO<\/strong>, the following angle relationships always hold true:<\/p>\n\n\n\n\n
Opposite angles are equal<\/strong>: \u2003\u2003\u2220L = \u2220N \u2003\u2003\u2220M = \u2220O<\/li>\n\n\n\n
Adjacent angles are supplementary<\/strong> (they add up to 180\u00b0): \u2003\u2003\u2220L + \u2220M = 180\u00b0 \u2003\u2003\u2220M + \u2220N = 180\u00b0, etc.<\/li>\n<\/ol>\n\n\n\n
This means that if you know one angle, you can determine all the others.<\/p>\n\n\n\n
Let\u2019s assume that angle M = 70\u00b0<\/strong>. Using the property that adjacent angles in a parallelogram are supplementary:<\/p>\n\n\n\n
Therefore, angle L is 110\u00b0. Then angle N (opposite L) is also 110\u00b0, and angle O (opposite M) is 70\u00b0.<\/p>\n\n\n\n
Even if we didn\u2019t have angle M, as long as we had any one angle, we could still calculate angle L using the supplementary rule.<\/p>\n\n\n\n
If no angles are given<\/strong>, then the best we can say is that angle L could be any value between 0\u00b0 and 180\u00b0, excluding those extremes<\/strong>, as long as the parallelogram rules are respected (opposite angles equal, adjacent angles supplementary).<\/p>\n\n\n\n
In summary, in a parallelogram, understanding one angle allows you to find the others. If \u2220M is 70\u00b0, then \u2220L must be 110\u00b0<\/strong>.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
What is the measure of angle L in parallelogram LMNOWhat is the measure of angle L in parallelogram LMNO The Correct Answer and Explanation is: Correct Answer: The measure of angle L depends on additional information.However, if angle L is given or if another angle is known, we can find it using the properties of […]<\/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-228002","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228002","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=228002"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228002\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228002"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228002"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228002"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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