2x-4 16x-2 15x+3 U R x+5 Find mLZ Find mZV W. V U. 5х -6 6x +9 4x+2 4+7x S. T Find RS Зх- 12 R. X+12

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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Solve the following and highlight your answers in bold :)
Find mLT
Find TU
2x-4
T.
16x-2
15x+3
X+5
Find mZZ
Find mZV
W.
5x-6
6x+9
4x+2
4+7x
Y
Find RS
3x-12
1 12
III
Transcribed Image Text:Find mLT Find TU 2x-4 T. 16x-2 15x+3 X+5 Find mZZ Find mZV W. 5x-6 6x+9 4x+2 4+7x Y Find RS 3x-12 1 12 III
Expert Solution
Question 1

TSRQ is a parallelogram, so,

(i) the sum of its adjacent angles is 180°

&, (ii) its opposite angles are equal

So, 16x - 2 = 15x + 3

So, x = 5

So, m(angle S) = (15×5 + 3)° = 78°

So, m(angle T) = 180° - 78° = 102°

So, m(angle T) = 102°

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