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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-example-1
User Bobo
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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°
User Jason Jones
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