geometry proofs

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.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3

Answer 1

 

   Angle KER = angle 1 + angle 2  <--- angle addition postulate

 

  Angle MEN = angle 2 + angle 3 <--- angle addition postulate

 

  Angle KER = angle MEN  <--- given

 

  angle 1 + angle 2 = angle 2 + angle 3 <---- substitution

 

 angle 1 = angle 3 <--- subtraction property of equality