Question

The sum of the measures of angle X and angle Yis 90. If the measure of angle X is 30 less than twice the measure of angle Y, what is the measure of angle X?

Answer 1

`/_X=50^@`

Explanation:

Let the measure of angle `X` be `x`.

As sum of angle `X` and `Y` is `90^@`

measure of angle `Y` is `90^@-x`

But measure of angle `X` is `30^@` less than twice the measure of angle `Y`, we have

`x=2(90^@-x)-30^@`

or `x=180^@-2x-30^@=150^@-2x`

or `3x=150^@`

and hence `x=50^@`

Hence `/_X=50^@`