Question

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

Answer 1

D

Explanation:

just did a usa test prep on this

Answer 2

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\°`