Question

2 given: $overline{ps}congoverline{pt},angle prscongangle prt$ prove: $angle prsperpangle prt$ look at the figure. which reason justifies that $angle prs$ and $angle prt$ are right - angles? $angle prs$ and $angle prt$ are congruent supplementary angles. $angle prs$ and $angle prt$ are vertical angles. $angle prs$ and $angle prt$ are congruent complementary angles. $angle prs$ and $angle prt$ are interior angles of $\triangle prs$ and $\triangle prt$

Explanation:

Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. Vertical angles are non - adjacent angles formed by two intersecting lines. Since $\angle PRS$ and $\angle PRT$ are supplementary (they form a linear pair) and congruent (given $\angle PRS\cong\angle PRT$), if we let $m\angle PRS = m\angle PRT=x$, then $x + x=180^{\circ}$, so $x = 90^{\circ}$.

Answer:

$\angle PRS$ and $\angle PRT$ are congruent supplementary angles.