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in the figure below, m∠abc = 137° and m∠1 = 39°. find m∠2.

Question

in the figure below, m∠abc = 137° and m∠1 = 39°. find m∠2.

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve for $\angle 2$

$\angle 2=\angle ABC - \angle 1$.
Substitute $\angle ABC = 137^{\circ}$ and $\angle 1=39^{\circ}$ into the equation: $\angle 2=137 - 39$.
$\angle 2 = 98^{\circ}$.

Answer:

$98$