Question

question 5 of 50
given: the figure at the right
prove: ∠j ≅ ∠m
statement\treason

1. jn ≅ lm\t1. given
2. ∠n ≅ ∠l\t2. given
3. ∠jkn ≅ ∠mkl\t3.
4. δjkn ≅ δmkl\t4.
5. ∠j ≅ ∠m\t5.

which of the following choices justifies reason #3?
○ the vertical angles theorem
○ cpctc
○ the aas congruency theorem

Explanation:

Vertical angles are formed when two lines intersect. In the given figure, \(\angle JKN\) and \(\angle MKL\) are vertical angles. The vertical angles theorem states that vertical angles are congruent.

Answer:

the vertical angles theorem