Question

Find the value of x
. Then find the missing angle measures of the polygon.

Answer 1

Hi there!

Angles in a triangle sum up to 180°, so:

180° = 110° + 5x° + 2x°

Simplify:

180° = 110° + 7x°

Subtract both sides by 110:

70° = 7x°

Divide both sides by 7:

x = 10°

Plug in to solve for the other angles:

5x = 5(10) = 50°

2x = 2(2) = 20°

Answer 2

110 + 2x + 5x = 180
110-110+7x=180-110
7x=70
7x/7= 70/7
x=10