Question

in the figure below, ( m angle w x z = 92 ^ { circ } ), and ( m angle 1 ) is three times ( m angle 2 ). find ( m angle 2 ).

Explanation:

Step1: Set up the equation

Let \(m\angle2 = x\). Then \(m\angle1=3x\). Since \(m\angle WXZ=m\angle1 + m\angle2\), we have \(3x + x=92^{\circ}\).

Step2: Solve the equation

Combine like - terms: \(4x = 92^{\circ}\). Divide both sides by 4: \(x=\frac{92^{\circ}}{4}=23^{\circ}\).

Answer:

\(23\)