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