Question

∠1 and ∠2 are a linear pair. ∡1=x−50 and ∡2=x+32. Find the measure of each angle. (2 points)

Answer 1

Answer: ∠ 1 = 49° , ∠ 2 = 131°

Explanation:

Answer 2

∠ 1 = 49° , ∠ 2 = 131°

Explanation:

A linear pair of angles sum to 180°

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

x - 50 + x + 32 = 180

2x - 18 = 180 ( add 18 to both sides )

2x = 198 ( divide both sides by 2 )

x = 99

Then

∠ 1 = x - 50 = 99 - 50 = 49°

∠ 2 = x + 32 = 99 + 32 = 131°