Question

if m∠dhe = 82°, then what is m∠dhf? answer attempt 1 out of 2 m∠dhf =

Explanation:

Step1: Note angle - relationship

$\angle DHE$ and $\angle DHF$ are a linear - pair of angles.

Step2: Recall linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. So, $m\angle DHE + m\angle DHF=180^{\circ}$.

Step3: Solve for $m\angle DHF$

Given $m\angle DHE = 82^{\circ}$, then $m\angle DHF=180^{\circ}-m\angle DHE$. Substituting the value of $m\angle DHE$, we get $m\angle DHF = 180 - 82$.
$m\angle DHF=98^{\circ}$

Answer:

$98$