How do I solve this?

The given parameters are;

≅ , ∠PRS ≅ ∠PRT

To prove that ΔPRS ≅ ΔPRT

A two column proof is given as follows;

Statement                                   Reason

∠PRS and  ∠PRT are ≅              Given

∠PRS and ∠PRT are                   ∡ that form a linear pair are supplementary

supplementary angles

∠PRS and ∠PRT are right ∡    Two ≅ and supplementary angles are right ∡

ΔPRS and ΔPRT are right Δ    Triangle with one angle = 90°

≅                                    Given

≅                                    Reflective property

ΔPRS ≅ ΔPRT                           By hypotenuse leg postulate.

Step-by-step explanation:

The given parameters are;

≅ , ∠PRS ≅ ∠PRT

To prove that ΔPRS ≅ ΔPRT

A two column proof is given as follows;

Statement                                                              Reason

∠PRS and  ∠PRT are congruent                           Given

2) ∠PRS and ∠PRT are supplementary angles by angles that form a linear pair are supplementary

3) ∠PRS and ∠PRT are right angles by    Two congruent angles which are also supplementary (sum up to 180°) are two 90° angles

4) ΔPRS and ΔPRT are right triangles    Triangle with one angle = 90°

≅                                    Given

≅                                    Reflective property

ΔPRS ≅ ΔPRT                           By hypotenuse leg postulate for the congruency of two right triangles.

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