Find two complementary angles

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).

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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°.

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