Question

Find the value of b that makes quadrilateral RSTU a parallelogram.

Answer 1

We are asked to find the value of b that makes quadrilateral RSTU a parallelogram.​

We know from the properties of a parallelogram that the opposite angles are always equal.

`\begin{gathered} \angle S=\angle U \\ \angle T=\angle R \end{gathered}`

Let us equate the angles and solve the equation for b.

`\begin{gathered} \angle S=\angle U \\ 11b-6=12b-18 \\ 11b-12b=-18+6 \\ -b=-12 \\ b=12 \end{gathered}`

Similarly,