## Geometry: Common Core (15th Edition)

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