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?

Answer 1

Complementary angles are those angles whose sum is 90 degree.

The measurement of two complementary angles are

`(2x-10), (3x-10)`

There sum have to be 90 degree. That is

`2x-10+3x-10 = 90`

Combining like terms ,

`5x - 20 = 90`

Moving 20 to right side

`5x=110`

Dividing both sides by 5

`x =22`

So the measurement of the angles are

`2*22-10 , 3*22-10  \\ 34 degree,  56 degree`