Consider the following polygon. Determine the measure of both angles A and B. Show your work. A = (14x+5) B = (12x+4) other four angles: 83, 150, 135, 161

Angle A = 103

Angle B = 88

Step-by-step explanation:

Hexagons have six sides, and so does this figure.

You can calculate the degrees in a shape by doing (n-2) 180. With n being the number of sides (6)

There are 720 degrees in a hexagon.

1) Now write the following equation:

(14x+5) + (12x+4) + 83+150+135+161=720

2) Combine alike terms:

26x+538=720

3) Subtract 538 from both sides:

26x=182

4) Divide both sides by 26

x=7

5) Plug in 7 as X in the original two equations for A and B

A - 14 (7) + 5 = 103

B - 12 (7) + 4 = 88