Geometry: Common Core (15th Edition)

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

Chapter 13 - Probability - 13-7 Modeling Randomness - Practice and Problem-Solving Exercises: 20

Answer

80 and 150 degrees

Work Step by Step

We know that the sum of the interior angles is given by: Sum=180∗(n−2) Where n is the number of sides. Thus, for the given problem, we have: Sum=180∗(4−2) =360 Since the sum of the interior angles must be 360, we find that the remaining angles must add to: 360-80-50=230. Thus, 80 and 150 degrees is the only possible answer among the options given.
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