Question

Line p is parallel to line q. if the measure of angle 3 is 54°, what is the measure of angle 6

Answer 1

Answer:

$m\angle 6=54^o$

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

$m\angle 6=m\angle 3$ ---> by alternate interior angles

we have

$m\angle 3=54^o$

therefore

$m\angle 6=54^o$