Angle a is 110° and lines p and q are parallel find the measure of angle 2
To find the measure of angle 2, we need to use the properties of parallel lines and transversals.
Angle 2 is an alternate interior angle to angle a since lines p and q are parallel. Alternate interior angles are congruent when a transversal intersects two parallel lines.
To find angle 2, subtract the measure of angle a from 180 degrees. Since angle a is 110 degrees, we have:
180 degrees - 110 degrees = 70 degrees
Therefore, the measure of angle 2 is 70 degrees.