Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 118° less than 3 times the larger angle.
Complementary angles add up to 90°. x = larger angle 3x  118 = smaller angle {smaller angle is 118° less than 3 times larger angle} x + 3x  118 = 90 {added the two angles and set equal to 90°} 4x  118 = 90 {combined like terms} 4x = 208 {added 118 to each side} x = 52 {divided each side by 4} 3x  118 = 38 {substituted 52, in for x, into 3x  118} smaller angle is 38° larger angle is 52° Ask Algebra House Comments are closed.

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