Question

which of the following statements is true? answer m∠ghj = 1/2 (m∠ihj) m∠ghi = m∠ghj 2 (m∠ghj) = m∠ghi 1/2 (m∠ghj) = m∠ihj

Explanation:

Step1: Recall angle - bisector concept

An angle - bisector divides an angle into two equal parts. Here, ray $HJ$ divides $\angle GHI$ into $\angle GHJ$ and $\angle IHJ$.

Step2: Write the angle - relationship equation

Since $HJ$ is the angle - bisector of $\angle GHI$, we have $\angle GHI=\angle GHJ+\angle IHJ$ and $\angle GHJ = \angle IHJ$. So, $2(\text{m}\angle GHJ)=\text{m}\angle GHI$.

Answer:

$2(\text{m}\angle GHJ)=\text{m}\angle GHI$