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in the figure below, m∠abc = 71° and m∠1 = 26°. find m∠2.

Question

in the figure below, m∠abc = 71° and m∠1 = 26°. 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: $\angle 2=\angle ABC - \angle 1$.
Substitute the given values: $\angle 2 = 71^{\circ}-26^{\circ}$.
$\angle 2 = 45^{\circ}$

Answer:

$45$