Question

chapter 1 review

1. if m∠goi = 44° and m∠hoi = 24°, then what is the measure of ∠goh?

∠cde=(10x - 1)°, m∠fdc = 66°

Explanation:

Step1: Analyze angle - relationship

We know that \(\angle GOI=\angle GOH+\angle HOI\) (by the angle - addition postulate).

Step2: Rearrange the formula to find \(\angle GOH\)

\(\angle GOH=\angle GOI - \angle HOI\)

Step3: Substitute the given values

Given \(m\angle GOI = 44^{\circ}\) and \(m\angle HOI=24^{\circ}\), then \(m\angle GOH=44^{\circ}- 24^{\circ}\)
\(m\angle GOH = 20^{\circ}\)

Answer:

\(20^{\circ}\)