Question

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

Answer 1

34 degrees and 65 degrees

Explanation:

2x-10+3x-10=90 since they are complimentary

collecting like terms together and simplifying we get

2x+3x-10-10=90

5x-20=90 adding 20 on both sides

5x=110 dividing both sides by 5

x=22

The first angle will be

2x-10 bt x=22

2×22-10=34

The second angle will be

3x-10 bt x=22

3×22-10=56