Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-4 Measuring Angles - Lesson Check: 2

Answer

$m\angle ABC=85-x$

Work Step by Step

The Angle Addition Postulate says: $m\angle ABC + m\angle CBD = m\angle ABD$ Substitute the given values. $m\angle ABC + x=85$ Subtract x from each side to solve for $\angle ABC$. $m\angle ABC+x-x=85-x$ $m\angle ABC=85-x$
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