Question

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Answer 1

`B = 134^o`

Explanation:

`n = 6` --- sides

`A = 170^o`

`C = 107^o`

`D = 102^o`

`E = 117^o`

`F = 90^o`

Required

The measure of B

The interior angles of a polygon is:

`Angles = (n - 2) * 180`

So, we have:

`Angles = (6 - 2) * 180`

`Angles = 4 * 180`

`Angles = 720^o`

The measure of B is calculated using:

`A + B + C + D + E + F = 720`

Substitute known values

`107 + B + 170 + 102 + 117 + 90 = 720`

Collect like terms

`B + 107 + 170 + 102 + 117 + 90 = 720`

`B + 586 = 720`

Collect like terms

`B = 720 - 586`

`B = 134^o`