Two angles are complementary if the sum of the measures is 90°. Find two complementary angles such that one of the angles is 202° less than three times the other angle (round to two decimal places if necessary).
Complementary angles add up to 90°.
x = one angle 3x  202 = other angle {one angle is 202 less than three times the other} x + 3x  202 = 90 {complementary angles add up to 90} 4x  202 = 90 {combined like terms} 4x = 292 {added 202 to each side} x = 73 {divided each side by 4} 3x  202 = 17 {substituted 73, in for x, into 3x  202} The two angles are 73° and 17°. Ask Algebra House
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