Question

given: ∠pqr and ∠srq are right angles
prove: ∠pqr ≅ ∠srq

p
q
r
s

move a statement or reason to each space provided.

statements\treasons

1. ∠pqr and ∠srq are right angles\t1. given
2. m∠pqr = 90°\t2.

Explanation:

Step1: Recall the definition of a right angle

A right angle is defined as an angle with a measure of \( 90^\circ \). So, if \( \angle PQR \) is a right angle (from Step 1's statement), then its measure must be \( 90^\circ \).

Step2: Apply the definition to \( \angle PQR \)

Since \( \angle PQR \) is a right angle (given), by the definition of a right angle, \( m\angle PQR = 90^\circ \).

Answer:

The reason for statement 2 (\( m\angle PQR = 90^\circ \)) is "Definition of a right angle".