Question

Given: m∠A + m∠B = m∠B + m∠C Prove: m∠C = m∠A Write a paragraph proof to prove the statement.

Answer 1

Given :  : m∠A + m∠B = m∠B + m∠C

To Find : Prove: m∠C = m∠A

Solution:

m∠A + m∠B = m∠B + m∠C    Given

Subtract m∠B  from both sides

m∠A + m∠B -   m∠B  = m∠B + m∠C   -   m∠B

Rearrange terms

m∠A + m∠B -   m∠B  =m∠C  _  m∠B   -   m∠B

Cancel like term on a side with opposite sign

m∠A   = m∠C  

interchange sides

m∠C    =  m∠A

QED

Hence proved

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