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

**Solution:**

Let the measure of __angle__ X be x.

Given that the sum of angles X and Y is 90º

Measure of angle Y is 90º - x

But measure of angle X is 30º less than twice the measure of angle Y,

We have x = 2(90º - x) - 30º

or x = 180º - 2x - 30º = 150º - 2x

or 3x = 150º and hence x = 50º

Hence ∠x = 50º

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

**Summary:**

The sum of the measures of angle A and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y, then the measure of angle X is 50º.

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