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Find the measure of ∠G. A) 50° B) 54° C) 60° D) 71°

2 Answers

4 votes

Answer:

D

Explanation:

just did a usa test prep on this

User Heeen
by
7.4k points
1 vote

Answer:

Option D.
m<G=71\°

Explanation:

see the attached figure to better understand the problem

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In this problem


m<T+m<G+m<R=180\°

substitute the values and solve for x


(6x-6)\°+(7x+1)\°+55\°=180\°


13x=180\°-50\°


x=130\°/13=10\°

Find the measure angle G


m<G=(7x+1)\°

substitute the value of x


m<G=(7(10)+1)\°=71\°

Find the measure of ∠G. A) 50° B) 54° C) 60° D) 71°-example-1
User Jim Nelson
by
8.3k points