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in the figure below, m∠1 = 57° and m∠2 = 66°. find m∠fgh.

Question

in the figure below, m∠1 = 57° and m∠2 = 66°. find m∠fgh.

Explanation:

Step1: Identify angle - addition property

The measure of $\angle FGH$ is the sum of the measures of $\angle 1$ and $\angle 2$.

Step2: Calculate $\angle FGH$

$m\angle FGH=m\angle 1 + m\angle 2$. Given $m\angle 1 = 57^{\circ}$ and $m\angle 2=66^{\circ}$, then $m\angle FGH=57^{\circ}+66^{\circ}=123^{\circ}$.

Answer:

$123$