The sum of the measures of angle X 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? (1 point) Responses 20° 20° 35° 35° 50° 50° 65°

Answer 1

Let's say the measure of angle Y is represented by "a".
According to the problem, the measure of angle X is 30 less than twice the measure of angle Y.
So, the measure of angle X is 2a - 30.
The sum of the measures of angle X and angle Y is 90, which can be represented as:
2a - 30 + a = 90
Combining like terms, we get:
3a - 30 = 90
Adding 30 to both sides, we get:
3a = 120
Dividing both sides by 3, we get:
a = 40
Therefore, the measure of angle X is 2a - 30 = 2(40) - 30 = 80 - 30 = 50°.

So, the correct answer is 50°.