∠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
1 answer:
Answer:
D)
Step-by-step 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
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