Answer:
A pair of vertical angles: <2 and <5
A pair of complementary angles: <1 ,<2 and <4,<5
A pair of supplementary angles: <1,<3 and <4,<6
Statements
1. Angle 1 is congruent to angle 2. Reason: 1 and 2 are split by an angle bisector. Angle bisectors divides an angle into two equal parts
2. Angle 2 is congruent to angle 5. Reason: Angle 2 and Angle 5 are vertical angles. 3. Vertical angles intersect (cross) each other at a point. When they cross, they form equal angles and have the same measurements.
3. Transitive Property of Angle Congruence. Statement: Two objects that are congruent to a third object are also congruent to each other. Ex: If a = b and b = c then a = c also