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What are the measures of ZBEC and LABE in the figure shown? E (4x+10) 3x-5,

What are the measures of ZBEC and LABE in the figure shown? E (4x+10) 3x-5,

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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measure Ol FHG is 2 What are the measures of L BEC and LABE in the figure shown? (3x-5) (4x+10) -5)" Answers: The measure of BEC is The measure of ABE is Grade 7 Lesson 18 Problem Solving with Angles Date Name DELL
Transcribed Image Text:measure Ol FHG is 2 What are the measures of L BEC and LABE in the figure shown? (3x-5) (4x+10) -5)" Answers: The measure of BEC is The measure of ABE is Grade 7 Lesson 18 Problem Solving with Angles Date Name DELL
Expert Solution
Step 1

Given:

  • In right angled triangle BCE, m∠CBE=x-5°, m∠BEC=3x-5°.

In right angled triangle BCE,

m∠CBE+m∠BEC+m∠BCE=180°              x-5°+3x-5°+90°=180°                                                   4x=100°                                                     x=25°

Therefore,

 m∠BEC=3×25-5°                 =70°

Hence, the measure of ∠BEC is 70°.

 

 

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