Question

m∠3 = 82°, find m∠4.
m∠4 = ?°

Explanation:

Step1: Identify vertical angles

$\angle 3$ and $\angle 1$ are vertical angles, so $m\angle1 = m\angle3 = 82^\circ$.

Step2: Find supplementary angle

$\angle1$ and $\angle4$ are supplementary (form a straight line), so $m\angle4 = 180^\circ - m\angle1$.

Step3: Calculate $m\angle4$

$m\angle4 = 180^\circ - 82^\circ = 98^\circ$.

Answer:

98