Question

if m∠goh = 24° and m∠foh = 50°, then what is the measure of ∠fog?
a. 26°
b. 28°
c. 31°
d.

Explanation:

Step1: Identify angle - relationship

We know that $\angle FOH=\angle FOG+\angle GOH$.

Step2: Solve for $\angle FOG$

$\angle FOG=\angle FOH - \angle GOH$.
Substitute $\angle GOH = 24^{\circ}$ and $\angle FOH = 50^{\circ}$ into the formula: $\angle FOG=50^{\circ}- 24^{\circ}$.
$\angle FOG = 26^{\circ}$.

Answer:

A. $26^{\circ}$