karleighmanninoyt3z6
karleighmanninoyt3z6 karleighmanninoyt3z6
  • 21-01-2018
  • Mathematics
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find the values of the variables x,y, and z in the parallelogram. The diagram is not drawn to scale.

Please show work and how you got it! Brainliest to best answer!

find the values of the variables xy and z in the parallelogram The diagram is not drawn to scale Please show work and how you got it Brainliest to best answer class=

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Kaikerscupcake
Kaikerscupcake Kaikerscupcake
  • 21-01-2018
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
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