Proving Vertical Angles Are Congruent Try it
Given: 22 and 24 are vertical angles.
Prove: 224
Statements Reasons
given
subtraction property
def. of a linear pair
definition of angles
m
1
Reasons
1. given
2
р
n
4
3
Statements
✓ 1.22 and 24 are vert, angles
✓ 2. lines m and n intersect at P
✓ 3.22 and 23 are a linear pair
✓ 4.23 and 24 are a linear pair
✓ 5. m23 + 24 = 180
✓ 6. m 2 + m23 = 180
✓ 7. m2 + m23 = m 23 + m24
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2. def. of vertical angles
3. def. of a linear pair
4. def. of a linear pair
5. angle addition postulate
6. angle addition postulate
7. substitution property
Correct! You have completed this
exercise