Question

Find the measure of ∠T. A) 50° B) 54° C) 59° D) 60°

Answer 1

The measure of all the angles in a triangle is 180°

So put all the angles into an equation like so:

180=55+(7x+1)+(6x-6)

Gather the x's

7x+6x=13x

180=55+13x+1-6

Then add/subtract

55+1-6=50

180=50+13x

Then get the X alone by subtracting 50 from both sides

180-50=50-50+13x

130=13x

Divide 13

130÷13=10

x=10

Then you put the answer that you got for x into the problems

Angle T: (6(10)-6)=54

Angle G: (7(10)+1)=71

So the answer is B) 54°


Hope this helps! :)