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 two adjacent angles are congruent, then they are right angles.

Explanation:

Step1: Analyze the given statement

The given statement "If two adjacent angles are congruent, then they are right - angles" is a conditional statement.

Step2: Provide counter - example

Consider two adjacent angles each measuring 20 degrees. They are congruent but not right - angles (right - angles measure 90 degrees). So, the reasoning in the given options is incorrect.

Answer:

There is no correct option among the given ones as the statement "If two adjacent angles are congruent, then they are right - angles" is false. Just because two adjacent angles are congruent does not mean they are right - angles. They could be any measure of congruent angles (e.g., two congruent 30 - degree angles).