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In the figure below, ABC and BCD are triangles such that AB = BC = CD and ABD is a straight line. Find LACB.

In the figure below, ABC and BCD are triangles such that AB = BC = CD and ABD is a straight line. Find LACB.

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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Q6. In the figure below, ABC and BCD are triangles such that AB = BC = CD and ABD is a straight line. Find ZACB. A D B
Transcribed Image Text:Q6. In the figure below, ABC and BCD are triangles such that AB = BC = CD and ABD is a straight line. Find ZACB. A D B
Expert Solution
Step 1

We have given 

AB=BC=CD

In a triangle if two sides are equal then it is a isosceles triangle , since BC=CD,

So ∆BCD is a isosceles triangle. That's why 

Angle CBD= angle BDC

And that's Same will apply on ∆ABC 

∆ABC have AB =BC  and

it's angle CAB = angle ACB

 

 

 

 

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