20.4k views
4 votes
Savannah completed a proof showing that non adjacent angles A and B are congruent. What is the value of y?

Savannah completed a proof showing that non adjacent angles A and B are congruent-example-1

1 Answer

3 votes

Answer:

y = 57

Explanation:

Given that Savannah has proven that angle A and angle B are congruent, it follows that their measures are equal.

This means, m<A = m<B.

First, let's find the value of x.

(139)° + (x + 8)° = 180° (angles on a straight line/linear pair)

139 + x + 8 = 180

Combine like terms

139 + 8 + x = 180

147 + x = 180

Subtract 147 from each side

147 + x - 147 = 180 - 147

x = 33

Since angle A = angle B, therefore,

3x - y = x + 8

Plug in the value of x

3(33) - y = 33 + 8

99 - y = 42

Collect like terms

99 - 42 = y

57 = y

y = 57

User Dini
by
4.5k points