Question

Which is the correct reason for statement 2 in the proof?

Given: m/2 = m.23
Prove: mZ1 = m24
A _ 2. m2 3+ m 24 - 180
a) Addition Property
b) Substitution Property
c) None of the above
d) Linear Pair Postulate

Answer 1

The Linear Pair Postulate explains that two adjacent angles forming a linear pair are supplementary, hence their measures add up to 180 degrees, making it the correct reason for statement 2 in the proof.

Step-by-step explanation:

The correct reason for statement 2 in the proof, given that m/2 = m.23 and you need to prove that mZ1 = m24, is the Linear Pair Postulate. This postulate states that if two angles form a linear pair, they are supplementary, which means their measures add up to 180 degrees. Therefore, if m2 and m3 are adjacent angles that form a linear pair, their measures would add up to 180 degrees, which explains the equation m2 + m3 = 180.