Question

in the figure below, m∠abc = 132° and m∠1 = 49°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABC=\angle 1+\angle 2$.

Step2: Solve for $\angle 2$

Rearrange the equation to get $\angle 2=\angle ABC - \angle 1$.
Substitute $\angle ABC = 132^{\circ}$ and $\angle 1 = 49^{\circ}$ into the equation: $\angle 2=132 - 49$.
$132-49 = 83$.

Answer:

$83$