Question

When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have the measures of 2x - 10 degrees and 3x - 10 degrees. Find the measures of each angle

Answer 1

2x - 10 = 34 degrees

3x - 10 = 56 degrees

Explanation:

Since they're complementary, they'd equal 90-degrees.

Solve for x:

2x - 10 + 3x - 10 = 90

5x -20 = 90

5x = 110

x = 22

2(22)-10 = 34

3(22)-10 = 56