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?

Question

(1 point)
○20°
35°
50°
65°

Answer 1

Let the measure of angle Y be represented by "y"
The measure of angle X can be represented by 2y - 30
Since the sum of the measures of angle X and angle Y is 90, we have the equation:
(2y - 30) + y = 90
Simplifying the equation, we get:
3y - 30 = 90
Adding 30 to both sides, we get:
3y = 120
Dividing both sides by 3, we get:
y = 40
The measure of angle X is 2y - 30 = 2(40) - 30 = 80 - 30 = 50°
Therefore, the answer is 50°.