Elementary Geometry for College Students (5th Edition)

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

Chapter 1 - Section 1.2 - Informal Geometry and Measurement - Exercises - Page 20: 42

Answer

m$\angle$ 1 = 34$^{\circ}$

Work Step by Step

Step 1: m$\angle$ 1 + m$\angle$ 2 = m$\angle$ ABC. Step 2: Since m$\angle$ 1 = m$\angle$ 2; Substitute x for m$\angle$ 1, x for m$\angle$ 2, and 68 for m$\angle$ ABC. x + x = 68 Step 3: Simplify the left side of the equation. 2x = 68 Step 4: Divide both sides by 2. $\frac{2x}{2}$ = $\frac{68}{2}$ Step 5: Solve. x = 34. Since x = 34, then m$\angle$ 1 - 34$^{\circ}$.
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