Question

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

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle EGF, angle EGH is an exterior angle. The two non - adjacent interior angles to angle EGH are angle GEF and angle GFE.

Step2: Calculate angle EGH

We know that angle GEF = 64° and angle GFE = 38°. So, angle EGH=64° + 38°.
\[

$$\begin{align*} \angle EGH&=64^{\circ}+38^{\circ}\\ &=102^{\circ} \end{align*}$$

\]

Answer:

102°