Question

in the figure below, ( mangle1 = 29^{circ} ) and ( mangle2 = 22^{circ} ). find ( mangle xwy ).

Explanation:

Step1: Analyze the angle relationship

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

Step2: Substitute the given values

Given \(m\angle1 = 29^{\circ}\) and \(m\angle2=22^{\circ}\), then \(m\angle XWY=29^{\circ}+ 22^{\circ}\).

Step3: Calculate the sum

\(29^{\circ}+22^{\circ}=51^{\circ}\).

Answer:

\(51\)