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3x +30 Y 45 60 15 O o o o

3x +30 Y 45 60 15 O o o o

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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3x +30 Y 45 60 15 O o o o
Transcribed Image Text:3x +30 Y 45 60 15 O o o o
Expert Solution
Step 1

Given that,

∠EYZ=3x∠ZYQ=x+30∠EYQ=90

Step 2

According to the given figure,

∠EYQ=∠EYZ+∠ZYQ        ...(1)

Substitute the value of ∠EYQ, ∠EYZ and ∠ZYQ in (1),

∠EYQ=∠EYZ+∠ZYQ90=3x+x+3090=4x+304x=90-304x=60x=604x=15

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