Question

In triangle GHI, HI=GH, angle IHG=3x+4 and angle IGH=2x-24. What is angle HIG

Answer 1

Answer: 2x - 24

Step-by-step explanation:

Sum of angle in a triangle is 180° and since two sides of the triangle are equal, two angles will also be the same.

The two equal angles will be the base angle IGH and HIG

Since IGH = 2x - 24, HIG = 2x - 24

Answer 2

Because HI=HG, ∠IGH=∠HIG=2x-24
the three interior angles of a triangle make a total of 180, so
(3x+4)+(2x-24)+(2x-24)=180
7x-44=180
7x=224
x=32
so ∠HIG=2x-24=2*32-24=40