Question

Math help please!

Answer 1

Answer:

x || t,         [Given]  

$m\angle 16 = m\angle 7$     [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.

$m\angle 16 = m\angle 1$   [Corresponding Angle theorem]     ......[2]

Substitute value [1] in [2] we have;

$m\angle 7 =m\angle 1$   [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!