Question

problem 14: (first taught in lesson 23) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠srk≅∠yrk prove: ∠srk and ∠yrk are right angles a b c d e if the two angles in a linear pair are congruent, then each is a right angle.

Explanation:

Step1: Identify angle relationship

$\angle SRK$ and $\angle YRK$ form a linear - pair (since they are adjacent and their non - common sides form a straight line).

Step2: Apply given congruence

Given $\angle SRK\cong\angle YRK$.

Step3: Use the property

By the property "If the two angles in a linear pair are congruent, then each is a right angle", we can prove that $\angle SRK$ and $\angle YRK$ are right angles.

Answer:

A. If the two angles in a linear pair are congruent, then each is a right angle.