Question

Ray GI bisects angle DGH so that angle DGI is x - 3 and angle IGH is 2x - 13. Find the value of x. Show your work.

Answer 1

Since the angle DGI is bisected, we know that angle DGI is equal to angle IGH. Therefore, we have:

x - 3 = 2x - 13

Simplifying this equation gives:

-x = -10

Multiplying both sides by -1 gives:

x = 10

Therefore, the value of x is 10.