Answer:
Option D. [tex]m<G=71\°[/tex]
Step-by-step 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
[tex]m<T+m<G+m<R=180\°[/tex]
substitute the values and solve for x
[tex](6x-6)\°+(7x+1)\°+55\°=180\°[/tex]
[tex]13x=180\°-50\°[/tex]
[tex]x=130\°/13=10\°[/tex]
Find the measure angle G
[tex]m<G=(7x+1)\°[/tex]
substitute the value of x
[tex]m<G=(7(10)+1)\°=71\°[/tex]
