Question

when angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x-10 degrees. Find the measures of each angle. Write an equation for the problem and solve

Answer 1

The equation is
2x-10 + 3x-10 = 90
2x+3x = 90+10+10
5x = 110
x = 22
So, the angles are
(2x-10)° = (2×22-10)° = (44-10)° = 34°
(3x-10)° = (3×22-10)° = (66-10)° = 56°