Question

What are the measures of each angle and what is the sum of the interior angles?

Answer 1

b = 180 - 58 = 122

answer: 122°

c = 180 - 82 = 98

answer: 98°

d = 180 - 60 = 120

answer: 120°

e = 180 - 37 = 143

answer: 143°

f = 180 - 24 = 156

answer: 156°

then for x and a,

the sum of the internal angles of a 6 sided polygon is

`(n-2)(180)=(6-2)*180=4*180=720`

therefore:

`a=720-122-98-120-143-156=81`

answer: a = 81°

x = 180 - 81 = 99

answer: 99°