Question

m∠3 = 82°. find m∠4.
m∠4 = \square°
(there is a diagram of two intersecting lines with angles labeled 1, 2, 3, 4 and a calculator interface at the bottom right.)

Explanation:

Step1: Identify supplementary angles

$\angle 3$ and $\angle 4$ are supplementary, so $m\angle 3 + m\angle 4 = 180^\circ$

Step2: Substitute known angle value

Substitute $m\angle 3 = 82^\circ$: $82^\circ + m\angle 4 = 180^\circ$

Step3: Solve for $m\angle 4$

$m\angle 4 = 180^\circ - 82^\circ$

Answer:

$98$