Answer:
x = 80°
y = 10°
Step-by-step explanation:
Angles B and D are 100°
Because segments AB and DC are parallel, and BC and AD are, too, the angles formed when they intersect must equal 180° for each line they intersect. That means that angle A must be 80°, and angle C must be, too. Since C is the same angle as x, x measures 80°.
The angles of Triangle ABE measure 90°, 80°, and y. The triangle - angle theorem says that the 3 interior angles of a triangle all add up to 180°. For triangle ABE, 90° + 80° + y = 170° + y. Since 170° + y must equal 180°, y = 10°.
