Question

How do I solve this? measuring triangles with incenter

Answer 1

Remembering that the bisector always divides an angle in triangle into the same 2 parts, and also that the sum of all interior angles in a triangle is 180 degrees, you can make an equation:

2*32 + 2*37 + 2x = 180

Solve for X.

Answer 2

Have you had any trouble?

Answer 3

Alright, let me try it.

(2 * 32) + (2 * 37) + 2x = 180
64 + 74 + 2x = 180
138 + 2x = 180
138 + 2x - 138 = 180 - 138
2x = 42
2x/2 = 42/2
x = 21

Answer 4

Correct. :)

Answer 5

Thanks!