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A) Find the measure of the indicated angle in each trapezoid. 1) 2) 3) 73 30 123 mZM %3D mZT = mZF = %24

A) Find the measure of the indicated angle in each trapezoid. 1) 2) 3) 73 30 123 mZM %3D mZT = mZF = %24

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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ame: Trapezoid - Angles Sheet 3 A) Find the measure of the indicated angle in each trapezoid. 1) 2) V K 30° M mZM = mZT = mZF = B) Find the measure of the indicated angles in each trapezoid. 6) 4) 5) 820 1190 Page 122
Transcribed Image Text:ame: Trapezoid - Angles Sheet 3 A) Find the measure of the indicated angle in each trapezoid. 1) 2) V K 30° M mZM = mZT = mZF = B) Find the measure of the indicated angles in each trapezoid. 6) 4) 5) 820 1190 Page 122
Expert Solution
Step 1

A) In a trapezoid, the sum of measures of adjacent angles on the non-parallel side is 180°.

1) In trapezoid JKLM, JK and ML are the non-parallel sides. ∠L and ∠M are adjacent angles. So measure of the sum of ∠L and ∠M is 180°. i.e. m∠L+m∠M=180°. Here, m∠L=30°. Find the m∠M.

30°+m∠M=180°m∠M=180°-30°=150°

Hence, m∠M=150°.

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