Question

Angle A and B are complementary. The measure of angle B is three times the measure of angle A. What is the measure of angle A and B?

Answer 1

`A=22.5` and `B=67.5`

Explanation:

If A and B are complimentary,
`A+B=90` ........... Equation 1

The measure of angle B is three times the measure of angle A
`B=3A`..............Equation 2

Substituting the value of B from equation 2 in equation 1, we get

`A+3A=90`
`4A=90` and hence `A=22.5`

Putting this value of A in either of the equations and solving for B, we get `B=67.5`

Hence, `A=22.5` and `B=67.5`