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

Answer:

$B = 134^o$

Step-by-step 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

$B = 720 - 586$

$B = 134^o$