Question

in the figure below, ( m angle w x z=84^{circ} ), and ( m angle 2 ) is two times ( m angle 1 ). find ( m angle 1 ).

Explanation:

Step1: Set up the equation

Let \( m\angle1 = x\). Then \( m\angle2 = 2x\). Since \( m\angle WXZ=m\angle1 + m\angle2\), we have \(x + 2x=84^{\circ}\).

Step2: Solve the equation

Combine like - terms: \(3x = 84^{\circ}\). Divide both sides by 3: \(x=\frac{84^{\circ}}{3}\).

Answer:

\(28\)