Question

Solve for x in the picture below

Answer 1

x = 15

Explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Answer 2

x = 16

Explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16