All of these angles can be compared to each other.
There are:
- Alternate interior angles
-- Angles that share one line and two parallel lines and are less than 90 degrees (angles 10, 12). These angles are equal to each other.
- Alternate exterior angles
-- Angles that share one line and two parallel lines and are more than 90 degrees (angles 1,5) These angles are equal to each other.
- Vertical Angle
-- Angles that share a point and are opposite of that point (angles 2,3) These angles are equal to each other.
-Supplementary angles
-- Angles that are on the same side of one line and share the side of another (angles 9,10). These angles are always equal to 180 degrees.
Using this we know:
a. m of angle 5 = to the m of angle 3 = 102
m of angle 5 = 102 degrees