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∠P and ∠Q are complementary. m∠P = 52° and m∠Q = (3x + 2)°. Find the value of x. Show your work.
These angles are complementary, so their sum is 90, so: ∠P+∠Q = 90 degrees Substitute value from task: 52 degrees + (3x+2) degrees = 90 degrees 52 + 3x + 2 = 90 54 + 3x = 90 3x = 90 - 54 3x = 36 /divide by 3 x = 12
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