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=}(360-90-90)/(2)`
`\text{Measure of angle E=}(180)/(2)`
`\text{Measure of angle E=}90^(\circ)`

Option d is the correct answer.