Question

if m∠4 = 118, what are the measures of ∠3?

Explanation:

Step1: Identify angle - relationship

$\angle4$ and $\angle3$ are supplementary angles (linear - pair).

Step2: Use supplementary - angle property

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle3=x$. Then $m\angle4 + x=180^{\circ}$. Given $m\angle4 = 118^{\circ}$, we have $118^{\circ}+x = 180^{\circ}$.

Step3: Solve for $m\angle3$

$x=180^{\circ}-118^{\circ}=62^{\circ}$.

Answer:

$62^{\circ}$