Question

complete the proof by choosing the correct
eason\.
given: $m \angle ptr = m \angle stq$
prove: $m \angle 1 = m \angle 3$

statement	reason
2 $m \angle stq = m \angle 2 + m \angle 3$	reason?
3 $m \angle ptr = m \angle stq$	reason?
4 $m \angle 1 + m \angle 2 = m \angle 2 + m \angle 3$	reason?
5 $m \angle 1 = m \angle 3$	reason?

Explanation:

Step1: Angle Addition Postulate

$m\angle PTR = m\angle 1 + m\angle 2$

Step2: Angle Addition Postulate

$m\angle STQ = m\angle 2 + m\angle 3$

Step3: Given information

$m\angle PTR = m\angle STQ$

Step4: Substitution property of equality

$m\angle 1 + m\angle 2 = m\angle 2 + m\angle 3$

Step5: Subtraction property of equality

$m\angle 1 = m\angle 3$

Answer:

1. Angle Addition Postulate
2. Angle Addition Postulate
3. Given
4. Substitution Property of Equality
5. Subtraction Property of Equality