Question

1. in the diagram shown, it is known that m∠fei = 158°, m∠gef = 64°, and m∠geh = m∠hei. using this information, determine the degree measure of ∠feh. show how you arrived at your answer.

Explanation:

Step1: Encontrar la medida de ∠GEI

Sabemos que ∠FEI = 158° y ∠GEF = 64°. Entonces, ∠GEI=∠FEI - ∠GEF.
∠GEI = 158° - 64° = 94°

Step2: Dividir ∠GEI en dos ángulos iguales

Como ∠GEH = ∠HEI, entonces ∠GEH=\frac{∠GEI}{2}.
∠GEH=\frac{94°}{2}=47°

Step3: Calcular ∠FEH

∠FEH = ∠GEF+∠GEH.
∠FEH = 64° + 47° = 111°

Answer:

111°