Question

Picture not drawn to scale. Make sure you show all your work for full points.

What is w, m, and n?

Answer 1

w = 102

m = 78

n = 58

Explanation:

Three angles of a triangle add up to 180°

∴ w = 180 - (36 + 42)

= 180 - 78

= 102

w and m are supplementary angles:
m + w = 180

m + 102 = 180

m = 180 - 102 = 78

Three angles of a triangle add up to 180°

m + 44 + n = 180

78 + 44+ n = 180

122 + n = 180

n = 180 - 122

n = 58