A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 23 ) ∘ ∠A=(2x−23) ∘ and m ∠ B = ( x + 20 ) ∘ ∠B=(x+20) ∘ , then fin
d the measure of ∠ A ∠A.
1 answer:
Answer:
∠A = 99°
Step-by-step explanation:
Complementary angles sum to 180°, thus
∠A + ∠B = 180 ← substitute values
2x - 23 + x + 20 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61
Hence
∠A = 2x - 23 = (2 × 61) - 23 = 122 - 23 = 99°
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