Question

Determine the values of the variables in the figure below. where AB CD and BC I DA. B с 56°

Answer 1

In this problem we have an isosceles trapezoid

that means

AB=CD

m

step 1

Find the value of x

msubstitute given values

x=56 degrees

step 2

Find the measure of z

Remember that

BC is parallel to AD

that means

x+z=180 -----> by consecutive interior angles

so

56+z=180

z=180-56

z=124 degrees

step 3

Find the measure of angle y

remember that

z=y -----> by an isosceles trapezoid

so

y=124 degrees