Proving Vertical Angles Are Congruent

Statements:                                                 Reasons:

1) ∠2 and ∠4 are vertical angles               given

2) limes m and n intersect at P                    definition of vertical angles

3) ∠3 and ∠4 are linear pair                       definition of linear pair

4) ∠2 and ∠3 are linear pair                       definition of linear pair

5) m∠3 + m∠4 =180                                     angle addition postulate

6) m∠2 + m∠3 =180                                     angle addition postulate

7) m∠2 + m∠3 = m∠3 + m∠4                   substitution property

8) m∠2 = m∠4                                             subtraction property

9) ∠2 ≅ ∠4                                                 definition of congruent(≅) angles

a = 11 : 4

b = 38

c = 1 for every 6

17   x 256=4352

sorry if this is wrong, i'm new.

step-by-step explanation: