Question

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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.

Answer 1

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