Question

Find x and y Show all the work

Answer 1

Answer:

x = 16

y = 116

Step-by-step 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