Answer:
[tex]Q M \cong R M \Rightarrow[/tex] definition of midpoint
[tex]\overline{P M} \cong \overline{P M} \Rightarrow[/tex] Reflexive property of congruence
[tex]\Delta P Q M \cong \Delta P R M \Rightarrow[/tex] SSS congruence postulate
[tex]\angle Q \cong \angle R \Rightarrow[/tex] CPCTC theorem
Step-by-step explanation:
Step 1: Since, M is the midpoint of the line segment QR.
[tex]\overline{Q M} \cong \overline{R M} \Rightarrow[/tex] definition of midpoint
Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.
[tex]\overline{P M} \cong \overline{P M} \Rightarrow[/tex] Reflexive property of congruence.
Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.
[tex]\Delta P Q M \cong \Delta P R M \Rightarrow[/tex] SSS congruence postulate
Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.
[tex]\angle Q \cong \angle R \Rightarrow[/tex] CPCTC theorem.
