Angle P and angle Q are complementary. the measure of angle P is two more than 10 times the measure of angle Q.What is the measure of each angle? Complementary angles add up to 90°. x = angle Q 10x + 2 = angle P {angle P is two more than ten times angle Q} x + 10x + 2 = 90 {the two angles add up to 90°} 11x + 2 = 90 {combined like terms} 11x = 88 {subtracted 2 from both sides} x = 8 {divided both sides by 11} 10x + 2 = 82 {substituted 8, in for x, into 10x + 2} angle Q = 8 angle P = 82 © Algebra House
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