Question

m∠3 = 82°. find m∠4. m∠4 =

Explanation:

Step1: Identify angle - relationship

$\angle3$ and $\angle4$ are adjacent angles that form a straight - line.

Step2: Recall angle - sum property

The sum of adjacent angles forming a straight - line is $180^{\circ}$. So $m\angle3 + m\angle4=180^{\circ}$.

Step3: Solve for $m\angle4$

Given $m\angle3 = 82^{\circ}$, then $m\angle4=180^{\circ}-m\angle3$. Substitute $m\angle3 = 82^{\circ}$ into the equation: $m\angle4 = 180 - 82=98^{\circ}$.

Answer:

$98$