Answer:
x = 65° and y = 77.5°.
Explanation:
The triangle with the 50 degree angle and x, is an isosceles triangle. That means that the other unlabeled angle is also equal to x degrees.
x + x + 50 = 180
2x + 50 = 180
2x = 130
x = 65°.
Since x = 65 degrees, and the two angles make a 90 degree angle, the other unlabeled angle will be 90 - 65 = 25 degrees.
Since the other triangle is also isosceles, that triangle has two angles that measure y degrees and one angle measuring 25 degrees.
y + y + 25 = 180
2y + 25 = 180
2y = 155
y = 77.5°.
Hope this helps!