Question

What is the measurement of angle D in the parallelogram

Answer 1

In a parallelogram, opposite angles are equal, so, lets draw a picture of our parallelogram:

since interior angles of a parallelogram add up to 360 degrees, we can write

`70+70+x+x=360`

By combining similar terms, we get

`140+2x=360`

so, by moving 140 to the right hand side, we have

`\begin{gathered} 2x=360-140 \\ 2x=220 \end{gathered}`

and x is given by

`\begin{gathered} x=(220)/(2) \\ x=110 \end{gathered}`

therefore, the answer is 110 degrees