# Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 126: 22

$\angle KPJ\cong\angle MPJ$. $\angle KPL\cong\angle MPL$

#### Work Step by Step

$\angle KPJ$ and $\angle MPJ$ are marked as congruent because each have a single arc. Theorem 2.2, the Congruent Supplements Therorem, tells us that angles that are supplements of the same angle are congruent. $\angle KPL$ and $\angle MPL$ are supplements of congruent angles, $\angle KPJ$ and $\angle MPJ$.

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