Kent notices that in parallelogram ABCD the consecutive (or adjacent) angles, 1 and 3, sum to 180 degrees. This means that they are supplementary. Will two adjacent angles of a parallelogram always add to 180 degrees? Why or why not? (Hint: What do you know about Sides AB and DC? If you let AD be a transversal, what does that imply about angles 1 and 2? What is the relationship between angles 2 and 3?)

Kent notices that in parallelogram ABCD the consecutive (or adjacent) angles, 1 and 3, sum to 180 degrees. This means that they are supplementary. Will two adjacent angles of a parallelogram always add to 180 degrees? Why or why not? (Hint: What do you know about Sides AB and DC? If you let AD be a transversal, what does that imply about angles 1 and 2? What is the relationship between angles 2 and 3?)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 62E

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Question

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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