PLEASE HELP PLEASE WILL GIVE BRAINILIEST 5 STARS AND THANK YOU TO WHOEVER CAN HELP!

EXPLAIN HOW YOU GOT THE ANSWER. please DO NOT just give answers I need this explained.

I have a really nitpicky teacher and I really need help with these.

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

PLEASE HELP PLEASE WILL GIVE BRAINILIEST 5 STARS AND THANK YOU TO WHOEVER CAN HELP EXPLAIN HOW YOU GOT THE ANSWER please DO NOT just give answers I need this e class=

Respuesta :

Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.

The angle of 109° and angle of z° equal eachother. Z=109°

Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.

Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.

z=109°
y=38°
x=33°