Question

21 and 22 are a linear pair. m/1 = x - 15,

and m2 = x + 77. Find the measure of each
angle.
Z1 =
42 =

Answer 1

∠ 1 = 44° , ∠ 2 = 136°

Explanation:

A linear pair of angles, sum to 180°

sum the 2 angles, equate to 180 and solve for x

x - 15 + x + 77 = 180 ( simplify left side )

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ 1 = x - 15 = 59 - 15 = 44°

∠ 2 = x + 77 = 59 + 77 = 136°