Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises - Page 142: 4



Work Step by Step

With corresponding angles indicated, $\angle$A=57$^{\circ}$ $\angle$C=85$^{\circ}$ $\angle$B=?$^{\circ}$ as per rules and formula the sum of all the angles of triangle is always equal to 180$^{\circ}$ therefore, $\angle$A+$\angle$B+$\angle$C=180$^{\circ}$ 57$^{\circ}$+$\angle$B+85$^{\circ}$=180$^{\circ}$ $\angle$B=180$^{\circ}$-142$^{\circ}$ ∠B=38$^{\circ}$ and here $\angle$A=$\angle$F $\angle$C=$\angle$D $\angle$B=$\angle$E
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