Complete the following paragraph proof. (You may use the choices more than once and you may not use all the choices)

Question

Given: <5 and <7 are supplementary. <7 and <9 are also supplementary

Prove: <5≅<9

We know that <5 and <7 are supplementary. <7 and <9 are also supplementary because it is

M<5 + m<7 =

and m< 7 + m<9 = 

by definition of supplementary angles. Then, m<5 + m<7 = m<7 + m<9 by the 

. Subtract m<7 from each side and you get m<5 = m<9. Then by the ​​​​​​​definition of congruence,   <5 ≅

Answer 1

The completed paragraph proof would be:

We know that <5 and <7 are supplementary. <7 and <9 are also supplementary because it is given. By the definition of supplementary angles, we have m<5 + m<7 = 180 and m<7 + m<9 = 180. Therefore, m<5 + m<7 = m<7 + m<9. Subtracting m<7 from each side, we get m<5 = m<9. Then, by the definition of congruence, we have <5 ≅ <9.