4 months ago
Q:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Find the values of x and y.

Accepted Solution

A:
Answer:x = 90 degrees, y = 43 degreesStep-by-step explanation:Given: <C = 47 degreesAB = ACTo find: x and yproof: in triangle ABC, AC=ABSo, <B=<C=47 (angles opposite to equal sides of a triangle are equal)<B=47 degreesIn triangle ABC, <B + <C + 2y = 180 (angle sum property)47 + 47 + 2y = 18094 + 2y = 1802y = 180-942y = 86y = 86/2 y = 43In triangle ABD,<B + y + x = 180 (angle sum property)47 + 43 +x = 18090 +x = 180x = 180-90x = 90