Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137442812
Author: Sybilla Beckmann
Publisher: PEARSON+
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Textbook Question
Chapter 10.4, Problem 19P
Use the idea of walking and turning around a shape to determine the sum of the exterior angles of the quadrilateral in Figure 10.93 . In other words. Determine e + f + g + h . Measure with a protractor to check that your formula is correct for this quadrilateral.
Figure 10.93 A quadrilateral
- Will there be a similar formula for the sum of the exterior angles of pentagons, hexagons, 7-gons (also known as heptagons), octagons, and so on? Explain.
- Using your formula for the sum of the exterior angles of a quadrilateral, deduce the sum of the interior angles of the quadrilateral. In other words. find a + b + c + d, as pictured in Figure 10.93 . Explain your reasoning. Measure with a protractor to verify that your formula is correct for this quadrilateral.
- Based on your work, what formula would you expect to be true for the sum of the interior angles of a pentagon? What about for hexagons? What about for a
polygon with n sides? Explain briefly
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Chapter 10 Solutions
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
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