Answered: If AC = BC, arc AOC = 130° and CD is…

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

Expert Solution

Step 1: Given information

Given

$A C space equals space B C comma space a r c space A O C space equals space 130 degree space i n triangle A O C space a n d space triangle B O C A C equals B C space left parenthesis space g i v e n space right parenthesis O C equals O C A O equals O B space left parenthesis thin space r a d i u s space right parenthesis T h e r e f o r e triangle A O C approximately equal to triangle B O C space left parenthesis S S S space C o n g r u e n c e space R u l e space right parenthesis H e n c e m angle B O C equals m angle A O C equals 130 degree$