Question

∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle. A) ∠1 = 74; ∠2 = 106 B) ∠1 = 74; ∠2 = 116 C) ∠1 = 45; ∠2 = 145 D) ∠1 = 45; ∠2 = 135

Answer 1

D)

Explanation:

∠1 + ∠2 = 180 {linear pair}

x - 29 + x + 61 = 180 {add the like terms}

2x + 32 = 180 {subtract 32 from both sides}

2x + 32 - 32 = 180 - 32

2x = 148

x = 148/2

x = 74

∠1 = x - 29 = 74 - 29 = 45

∠2 = x + 61 = 74 + 61 = 135