Question

1. if ∠goh = 24° and ∠foh = 50°, what is the measure of ∠fog? a. 31 b. 28 c. 23 d. 26

Explanation:

Step1: Analyze the relationship between angles

From the figure, we know that \(\angle FOH=\angle FOG + \angle GOH\).

Step2: Solve for \(\angle FOG\)

Rearrange the formula to get \(\angle FOG=\angle FOH-\angle GOH\). Substitute \(\angle FOH = 50^{\circ}\) and \(\angle GOH=24^{\circ}\) into the formula: \(\angle FOG = 50^{\circ}-24^{\circ}\).

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Answer:

D. 26