Answer:
x || t, [Given]
[tex]m\angle 16 = m\angle 7[/tex] [Given] ......[1]
Transversal defined as a line that cuts across two or more Parallel lines.
When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.
[tex]m\angle 16 = m\angle 1[/tex] [Corresponding Angle theorem] ......[2]
Substitute value [1] in [2] we have;
[tex]m\angle 7 =m\angle 1[/tex] [Substitution Property]
When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.
k || w [ By Alternative Exterior Angle Theorem] Hence proved!
