Question

part 1 of 7
in the figure, m is parallel to n and ( mangle4 = 122^{circ} ). find the measures of the other angles.
( mangle6=square^{circ} )

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(m\angle3 + m\angle4=180^{\circ}\). Given \(m\angle4 = 122^{\circ}\), then \(m\angle3=180^{\circ}- 122^{\circ}=58^{\circ}\).

Step2: Use the property of vertical angles

Vertical angles are equal. Since \(\angle3\) and \(\angle6\) are vertical angles, \(m\angle6 = m\angle3\).

Answer:

\(58\)