Question

The following figure is a parallelogram what is the measure of angle

Answer 1

Given:

Angle of D and F are given.

$\begin{gathered} 8x+2=9x-9 \\ 2+9=x \\ x=11 \end{gathered}$

Angle of D and F are

$\begin{gathered} 8x+2=8(11)+2 \\ =90 \end{gathered}$$\text{Measure of angle E=}\frac{360-90-90}{2}$$\text{Measure of angle E=}\frac{180}{2}$$\text{Measure of angle E=}90^{\circ}$

Option d is the correct answer.