What is the measure of each angle?

An angle measures 2.4 degrees less than the measure of its complementary angle. What is the measure of each angle?

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Complementary angles add up to 90 degrees.

x = one angle
x - 2.4 = other angle {one angle is 2.4 less than its complementary angle}

x + (x - 2.4) = 90 {complementary angles add up to 90 degrees}
x + x - 2.4 = 90 {removed parentheses}
2x = 92.4 {combined like terms and added 2.4 to each side}
​x = 46.2 {divided each side by 2}
​x - 2.4 = 43.8 {substituted 46.2, in for x, into x - 2.4}

The two angles measure 46.2 and 43.8.

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