Question

For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3

Answer 1

1) $m\angle KER=m\angle MEN$ (given)

2) $\angle 3 \cong \angle 3$ (reflexive property)

3) $m\angle 3=m\angle 3$ (congruent angles have equal measure)

4) $m\angle 1=m\angle 3$ (subtraction property of equality)