Question

solve for ( mangle ghi ) if ( mangle ghj = 96^{circ} ) and ( mangle jhi = 66^{circ} ). answer attempt 1 out of 2 ( mangle ghi=) ( circ )

Explanation:

Step1: Analyze the angle relationship

From the figure, we know that \(m\angle GHI=m\angle GHJ + m\angle JHI\) (angle addition postulate).

Step2: Substitute the given values

Given \(m\angle GHJ = 96^{\circ}\) and \(m\angle JHI=66^{\circ}\), then \(m\angle GHI=96^{\circ}+ 66^{\circ}\).

Step3: Calculate the sum

\(96 + 66=162\), so \(m\angle GHI = 162^{\circ}\).

Answer:

\(162\)