Statements Reasons Given: 22 and 24 are vertical

angles.

Prove: 22 24

m2 2 + m 23 = 180

m23+ m 24 = 180

22 and 23 are a linear pair

lines m and n intersect at P

m

1

1

23 and 24 are a linear pairm22 + m 23 = m 23+

m24

Statements

Reasons

V 1 22 and 24 are vert, angles 1. given

2

4

n

4

Р

3

Hint