Supply the missing steps in the following paragraph proof : Given: ∠1 and ∠2 are supplementary, and ∠2 and ∠3 are supplementary

Question

Prove: ∠1 ∠3

By the definition of supplementary angles, m∠1 + m∠2 = ___________________˚ and

m∠2 + m∠3 = ________________˚.

Then, m∠1 + m∠2 = m∠2 + m∠3 by _______________________________.

Subtract m∠2 from each side.

You get m∠1 = ___________ or ∠1 _______________.

Answer 1

By the definition of supplementary angles, m∠1 + m∠2 = 180˚ and m∠2 + m∠3 = 180˚.

Then, m∠1 + m∠2 = m∠2 + m∠3 by the transitive property.

Subtract m∠2 from each side.

You get m∠1 = m∠3 or ∠1 ≅ ∠3.