Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Related questions

Question
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If AC = BC, arc AOC = 130° and CD is height, then what is value of angle x?

 

A
C
0
X
D B
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Transcribed Image Text:A C 0 X D B
Expert Solution
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Step 1: Given information

Given

A C space equals space B C comma space
a r c space A O C space equals space 130 degree space


i n triangle A O C space a n d space triangle B O C
A C equals B C space left parenthesis space g i v e n space right parenthesis
O C equals O C
A O equals O B space left parenthesis thin space r a d i u s space right parenthesis

T h e r e f o r e
triangle A O C approximately equal to triangle B O C space left parenthesis S S S space C o n g r u e n c e space R u l e space right parenthesis
H e n c e
m angle B O C equals m angle A O C equals 130 degree

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