Question

Given that lines m and n are parallel and m<60, find the measures of the remaining angles m<3=?

Answer 1

When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:

The measurement of the angles in green is the same (are congruents)

The measurement of the angles in blue is the same (are congruents)

An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)

You know that:

$m\angle2=60º$

As the angle 3 is congruent with angle 2:

$m\angle3=60º$