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

Question

asked Sep 26, 2019 171k views

2 Answers

Jim Nelson · Answer 1 · 2019-10-03T17:03:23+0000

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

$m<G=(7(10)+1)\°=71\°$