Quadrilaterals Unit Test

If ACFG is a parallelogram with $m\angle CAG=\left(8a+13\right)\degree$ and  $m\angle ACF\left(4a+23\right)\degree$ , find  $m\angle ACF$ . 

In the parallelogram, $AX=4y+3$  and  $XF=2y+7$ , find the value of y.

In rectangle RSTU, if $m\angle1=62\degree$ , find  $m\angle2$ .

In rectangle RSTU, if  $XT = 3y-1$  and  $US=28$ , find the value of y.

ABCD is a rhombus. Find BC.

Quadrilateral ABCD is a rhombus and  $m\angle BCE=54\degree$ , find  $m \ angle1$ .

GEOM is a square. Find $m\angle GQE$ .

GEOM is a square. $QE=7$ units, find EO.

The measure of the bases of a trapezoid are 14 and 20. What is the measure of the median (midsegment) of the trapezoid?

(a)  

WXYZ is an isosceles trapezoid with WX parallel to ZY. If $m\angle WZY=\left(2a-24\right)\degree$ 

and  $m\angle XYZ=\left(a+37\right)\degree$ , find  $m\angle XYZ$ .