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Complementary angles are angles whose sum is 90 degrees
Given that angle A and angle B are complementary, it means that
angle A + angle B = 90
3x + 2 + 5x + 8 = 90
3x + 5x + 2 + 8 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 80/8
x = 10