Question

The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less than twice the measure of the second angle.

Answer 1

`x=55 \textdegree`

`y=35 \textdegree`

Explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

`x=2y-15`

Therefore

`2y-15 +y=90`

`3y=105`

`y=(105)/(3)`

`y=35 \textdegree`

Therefore

`x+35=90`

`x=90-35`

`x=55\textdegree`