Question

in the figure below, ( mangle2 = 120^{circ} ). find ( mangle1 ). ( mangle1=square^{circ} )

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Substitute the value of \(m\angle2\)

Given \(m\angle2 = 120^{\circ}\), then \(m\angle1=180^{\circ}-m\angle2\).

Step3: Calculate \(m\angle1\)

\(m\angle1 = 180^{\circ}- 120^{\circ}=60^{\circ}\)

Answer:

\(60\)