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in the figure below, m∠2 = 36° and m∠gfh = 75°. find m∠1.

Question

in the figure below, m∠2 = 36° and m∠gfh = 75°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve for $\angle 1$

Rearrange the formula: $\angle 1=\angle GFH - \angle 2$.
Substitute the given values: $\angle 1 = 75^{\circ}-36^{\circ}$.
$\angle 1 = 39^{\circ}$

Answer:

$39$