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yanalaym [24]
3 years ago
12

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?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

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

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