Question

in the figure below, ( mangle1 = 87^{circ} ) and ( mangle2 = 65^{circ} ).
find ( mangle gfh ).

Explanation:

Step1: Analyze the relationship between angles

From the figure, we can see that \(\angle GFH=\angle1 + \angle2\)

Step2: Substitute the given values

Given \(m\angle1 = 87^{\circ}\) and \(m\angle2=65^{\circ}\), then \(m\angle GFH=87^{\circ}+ 65^{\circ}\)

Step3: Calculate the sum

\(87^{\circ}+65^{\circ}=152^{\circ}\)

Answer:

\(152^{\circ}\)