ame:Trapezoid - AnglesSheet 3A) Find the measure of the indicated angle in each trapezoid.1)2)VK30°MmZM =mZT =mZF =B) Find the measure of the indicated angles in each trapezoid.6)4)5)8201190Page122

Name: ame:Trapezoid - AnglesSheet 3A) Find the measure of the indicated ang
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Description: ame:Trapezoid - AnglesSheet 3A) Find the measure of the indicated angle in each trapezoid.1)2)VK30°MmZM =mZT =mZF =B) Find the measure of the indicated angles in each trapezoid.6)4)5)8201190Page122

Answered: A) Find the measure of the indicated…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 38E

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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

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 $m ∠ M$ .

$\begin{array}{rcl} 30 ° + m ∠ M & = & 180 ° \\ m ∠ M & = & 180 ° - 30 ° \\ = & 150 ° \end{array}$

Hence, $\begin{array}{rcl} m ∠ M & = & 150 ° \end{array}$ .

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