Answer:
x = 26°
y = 64°
Explanation:
Find x first. The three angles in a triangle add up to 180°.
The triangle with x and 64° and a right angle has two known angles.
90° + 64° + x = 180°
154° + x = 180°
Subtract 154°.
x = 26°
The unmarked angle in the other triangle is also 26°. Since there are a pair of parallel lines. The angle marked x and the unmarked angle are alternate interior angles. They have equal measures.
The unmarked angle is 26° and there is a right angle, the third angle is y°.
y + 26° + 90° = 180°
y + 116° = 180°
Subtract 116°.
y = 64°