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The quadrilateral below is a parallelogram.  Determine the value of x.

 

angle BDC = 15

angle DAB = 136

 

 Mar 17, 2021
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opposite angles in a parallelogram are congruent, so therefore angle DCB is equal to DAB, and is 136 degrees.

 

the sum of the interior angles of a triangle is 180 degrees, so following that, angle x = 180 - 136 - 15 (since they are all angles in triangle DCB).

 

so, angle x is 29 degrees.

 

hope this helped! if you would like proof for any of the properties i mentioned in my solution, feel free to ask! smiley

 Mar 17, 2021

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