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18 directions - find the indicated angle measure. create an angle addit…

Question

18 directions - find the indicated angle measure. create an angle addition (part + part = total) equation in order to solve. find ( mangle feh ) ( mangle feh=) degrees.

Explanation:

Step1: Create angle addition equation

According to the angle addition postulate (part + part = total), \(m\angle FEH=m\angle FEG + m\angle GEH\).

Step2: Substitute the given angle measures

We know that \(m\angle FEG = 35^{\circ}\) and \(m\angle GEH=40^{\circ}\). Substituting these values into the equation: \(m\angle FEH=35^{\circ}+40^{\circ}\).

Step3: Calculate the sum

\(35 + 40=75\).

Answer:

\(75\)