GI−→ bisects ∠DGH so that m∠DGI is x−3 and m∠IGH is 2x−13 . Find the value of x.

Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Answer 1

There are two parts to this problem.

First understand what a line that biscects an angle signifies.

GI--> bisects <DGH

Now, understanding angles formed by a bisecting line are equivalent, solve for x in this single variable equation geometry problem.

<DGI = <IGH

x-3 = 2x-13

2x-x = -3+13

x=10

Answer 2

x-3 = 2x -13

2x-x= -3+13

x = 10