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QUESTION IMAGE

directions: find the indicated angle measure. create an angle addition …

Question

directions: find the indicated angle measure. create an angle addition (part + part = total) equation in order to
find m∠feh
m∠feh = ​degrees.

Explanation:

Step1: Identify angle - addition principle

By the angle - addition postulate, if an angle is composed of two non - overlapping angles, the measure of the larger angle is the sum of the measures of the two smaller angles. Here, $\angle FEH=\angle FEG+\angle GEH$.

Step2: Substitute given angle measures

We know that $\angle FEG = 36^{\circ}$ and $\angle GEH=40^{\circ}$. So, $m\angle FEH=36^{\circ}+40^{\circ}$.

Step3: Calculate the sum

$36 + 40=76$.

Answer:

$76$