Question

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

Answer 1

Angle A = 103

Angle B = 88

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