Question

In the following figure, a parallelogram $EFGH$is given and $m\angle EFG=70$. If$HQ=14$ then find HF.

Short answer

The measure of $HF=28$.

Step-by-step solution

Step 1. Apply the concept of a parallelogram.

In a parallelogram, the diagonals are bisecting each other.

Step 2. Check the figure.

Consider the figure.

Step 3. Step description.

Here $HQ=14$.

Since the diagonal bisects each other therefore find the value of HF as follows:

$\begin{array}{l}HF=2\left(HQ\right)\\ HF=2\left(14\right)\\ HF=28\end{array}$

Therefore, the measure is $HF=28$.