Question

in the figure below, ( mangle wxz = 60^{circ} ), and ( mangle 1 ) is three times ( mangle 2 ). find ( mangle 2 ).

Explanation:

Step1: Set up the equation

Let \(m\angle2 = x\). Then \(m\angle1=3x\). Since \(m\angle WXZ=m\angle1 + m\angle2\) and \(m\angle WXZ = 60^{\circ}\), we have the equation \(3x+x=60^{\circ}\).

Step2: Solve the equation

Combine like - terms: \(4x = 60^{\circ}\). Divide both sides by 4: \(x=\frac{60^{\circ}}{4}=15^{\circ}\).

Answer:

\(15\)