Question

problem 10: (first taught in lesson 17) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠2 and ∠5 are a linear pair. prove: ∠2 and ∠5 are supplementary.

Explanation:

Step1: Recall linear - pair definition

A linear pair of angles is two adjacent angles whose non - common sides are opposite rays.

Step2: Recall linear - pair postulate

The linear - pair postulate states that if two angles form a linear pair, then they are supplementary (their sum is 180°).

Step3: Apply to the problem

Since ∠2 and ∠5 are given as a linear pair, by the linear - pair postulate, they are supplementary.

Answer:

The linear - pair postulate.