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5-Minute Check 2

A B C D. Find the value of x . A. 80 B. 60 C. 40 D. 20. 5-Minute Check 2. Splash Screen. You have already classified quadrilaterals. (Lesson 11–4). Classify polygons. Determine the sum of the measures of the interior angles of a polygon. Then/Now. polygon.

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5-Minute Check 2

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  1. A B C D Find the value of x. A. 80 B. 60 C. 40 D. 20 5-Minute Check 2

  2. Splash Screen

  3. You have already classified quadrilaterals. (Lesson 11–4) • Classify polygons. • Determine the sum of the measures of the interior angles of a polygon. Then/Now

  4. polygon A simple closed figure in a plane formed by three or more line segments • diagonal • interior angle • regular polygon A line segment that joins two nonconsecutive vertices of a polygon An angle formed inside of a polygon A polygon having all sides congruent and all angles congruent Vocabulary

  5. Polygon Names

  6. Classify Polygons Determine whether the figure is a polygon. If it is, classify the polygon. If it is not a polygon, explain why. The figure has 5 sides that only intersect at their endpoints. Answer: It is a pentagon. Example 1

  7. A B C D Classify the polygon. A. pentagon B. hexagon C. heptagon D. octagon Example 1

  8. Concept

  9. Find the sum of the measures of the interior angles of a heptagon. Read the Test Item The sum of the measures of the interior angles is (n – 2)180. Since a heptagon has 7 sides, n = 7. Solve the Test Item (n – 2)180 = (7 – 2)180 Replace n with 7. = 5 ● 180 Simplify. = 900 Multiply. The sum of the measures of the interior angles of a heptagon is 900°. Answer:The answer is 900° Example 2

  10. A B C D What is the sum of the interior angles of an octagon? A. 540° B. 720° C. 900° D. 1080° Example 2 CYP

  11. Measure of One Interior Angle TRAFFIC SIGNSA stop sign is a regular octagon. What is the measure of one interior angle in a stop sign? Step 1 Find the sum of the measures of the angles. An octagon has 8 sides. Therefore, n = 8. (n – 2)180 = (8 – 2)180 Replace n with 8. = 6(180) or 1080 Simplify. The sum of the measures of the interior angles is 1080°. Example 3

  12. Measure of One Interior Angle Step 2 Divide the sum by 8 to find the measure of one angle. 1080 ÷ 8 = 135 Answer: So, the measure of one interior angle in a stop sign is 135°. Example 3

  13. A B C D PICNIC TABLE A picnic table in the park is a regular hexagon. What is the measure of one interior angle in the picnic table? A. 720° B. 128.57° C. 120° D. 108° Example 3 CYP

  14. End of the Lesson

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