Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Section 4.3 - The Rectangle, Square, and Rhombus - Exercises - Page 201: 1

Answer

m$\angle$A=60$^{\circ}$ m$\angle$ABC=120$^{\circ}$

Work Step by Step

If the diagonal is congruent to the sides then it splits the rhombus into two equilateral triangles. Equilateral triangles have 60$^{\circ}$ so m$\angle$A is 60$^{\circ}$. Angle ABC is supplementary to angle A so m$\angle$ABC is 120$^{\circ}$.
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