Question

in the figure, m is parallel to n and m∠4 = 122°. find the measures of the other angles. m∠6 = 122° m∠2 = □°

Explanation:

Step1: <Alternate interior angles>

Since \(m\parallel n\), \(\angle2\) and \(\angle6\) are alternate - interior angles.

Step2: <Equate the angles>

By the alternate - interior angles theorem, \(m\angle2=m\angle6\).
Given \(m\angle6 = 122^{\circ}\), so \(m\angle2=122^{\circ}\).

Answer:

\(122\)