Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

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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