Question

if m∠efg = 27° and m∠gfh = 65°, what is m∠efh? m∠efh = __

Explanation:

Step1: Recall angle - addition property

The measure of $\angle EFH$ is the sum of the measures of $\angle EFG$ and $\angle GFH$. That is, $m\angle EFH=m\angle EFG + m\angle GFH$.

Step2: Substitute given values

We know that $m\angle EFG = 27^{\circ}$ and $m\angle GFH=65^{\circ}$. So, $m\angle EFH=27^{\circ}+65^{\circ}$.

Step3: Calculate the sum

$27 + 65=92$. So, $m\angle EFH = 92^{\circ}$.

Answer:

$92^{\circ}$