what is the measure of angle egh?
78°
26°
102°
38°

Question

Accepted Answer

# Explanation:
## Step1: Use the exterior angle theorem
The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle $EFG$, $\angle EGH$ is an exterior angle. The two non - adjacent interior angles are $\angle FEG = 64^{\circ}$ and $\angle EFG=38^{\circ}$.
## Step2: Calculate the measure of $\angle EGH$
$$
\begin{align*}
\angle EGH&=\angle FEG+\angle EFG\
&=64^{\circ}+ 38^{\circ}\
&=102^{\circ}
\end{align*}
$$

# Answer:
$102^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the exterior angle theorem

Step2: Calculate the measure of \(\angle EGH\)

Answer: