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 56 degrees

Explanation:

As the two given angles are complementary,

2x-10+3x-10=90

5x-20=90

5x=90+20=110

x=110/5=22

x=22

Now each angle

2x-10=2*22-10=34 degrees

and

3x-10=3*22-10= 56 degrees