ABCD is a parallelogram. If m∠DAB = (5x)° and m∠DCB = (x + 52)°, what is the value of x?

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1 Answer
Tom M.
Dec 8, 2017

#x=13^o#

Explanation:

Opposite angles in a parallelogram are equal.

A proof of this if you wanted it is given [here.](https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDThPf2.html)

Since #/_DAB# is opposite to #/_DCB#, this means:

#m/_DAB=m/_DCB#
#5x=x+52#
#4x=52#
#x=13^o#

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