Question

in the figure below, m∠2 = 26° and m∠gfh = 73°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Rearrange for $\angle 1$

$\angle 1=\angle GFH - \angle 2$.

Step3: Substitute given values

Given $\angle 2 = 26^{\circ}$ and $\angle GFH=73^{\circ}$, then $\angle 1=73^{\circ}- 26^{\circ}$.

Step4: Calculate

$73 - 26=47$, so $m\angle 1 = 47^{\circ}$.

Answer:

$47$