Answer:
x = 16
y = 116
Explanation:
Given is a figure of isosceles trapezoid. One pair of opposite sides are parallel and non-parallel sides acts as it's transversals.
Therefore,
4x° + (6x + 20)° = 180° ( interior angles on the same side of transversal)
(6x + 20 + 4x)° = 180°
(10x + 20)° = 180°
10x + 20 = 180
10x = 180 - 20
10x = 160
x = 160/10
x = 16
Measure of base angles of an isosceles trapezoid are equal.
Therefore,
y° = (6x + 20)°
y = 6x + 20
y = 6*16 + 20
y = 96 + 20
y = 116