Question

Find the values of the variables x,y, and z in the parallelogram. The diagram is not drawn to scale.

Answer 1

We know that both sides are congruent. There are congruence markings on the parallelogram. First, let’s find y. All the angles in a triangle add up to 180 degrees.

109+33= 142
180-142= 38


Y= 38


Since we know they share a hypotenuse and a leg, they are congruent by the HL theorem. The corner of the first triangle equals 109 degrees, so z=109.
Same for x, that is equal to 33 degrees.
I hope this helps!
~kaikers