Main Idea/Vocabulary interior angle equilateral equiangular regular polygon Find the sum of the angle measures of a polygon and the measure of an interior.

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Objectives Classify polygons based on their sides and angles.

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Presentation transcript:

Main Idea/Vocabulary interior angle equilateral equiangular regular polygon Find the sum of the angle measures of a polygon and the measure of an interior angle of a regular polygon.

KC 1

Example 1 Find the Sum of Interior Angle Measures ALGEBRA Find the sum of the measures of the interior angles of a hexagon. Answer: The sum of the measures of the interior angles of a hexagon is 720 . S = (n – 2)180Write an equation. S = (6 – 2)180Replace n with 6. S = (4)180 or 720Simplify.

1.A 2.B 3.C 4.D Example 1 A.540  B.720  C.810  D.900  ALGEBRA Find the sum of the measures of the interior angles of a heptagon (7-sided figure).

Example 2 DESIGN A designer is creating a new logo for a bank. The logo consists of a regular pentagon surrounded by isosceles triangles. Find the measure of an interior angle of a pentagon. A pentagon has 5 sides. Step 1 Find the sum of the measures of the angles. S = (n – 2)180Write an equation. S = (5 – 2)180Replace n with 5. S = (3)180 or 540Simplify.

Example 2 The sum of the measures of the interior angles of a regular pentagon is 540 . Step 2 Divide 540 by 5, the number of interior angles, to find the measure of one interior angle. So, the measure of one interior angle of a regular pentagon is 540  ÷ 5 or 108 . Answer: 108°

1.A 2.B 3.C 4.D Example 2 A.108° B.122° C.140° D.148° DESIGN Michelle is designing a new logo for the math club. She wants to use a regular nonagon as part of the logo. Find the measure of an interior angle of a nonagon.

1.A 2.B 3.C 4.D Five Minute Check 1 A.11 balloons B.22 balloons C.44 balloons D.66 balloons A party store is having a sale on balloons. The balloons cost $0.35 per balloon, but if you purchase 4, you get 2 free. If Suzie spent $15.40 (before adding sales tax), how many balloons did she get for free? Use logical reasoning. (over Lesson 6-2)

1.A 2.B 3.C 4.D Five Minute Check 2 A.11 balloons B.22 balloons C.44 balloons D.66 balloons A party store is having a sale on balloons. The balloons cost $0.35 per balloon, but if you purchase 4, you get 2 free. If Suzie spent $15.40 (before adding sales tax), how many balloons did she get total? Use logical reasoning. (over Lesson 6-2)

1.A 2.B 3.C 4.D Five Minute Check 3 A.10 floats B.20 floats C.30 floats D.40 floats While watching a parade, Sabrina noticed that after every 5 floats, a marching band passed by. Use logical reasoning to determine how many floats Sabrina has seen if she is listening to the sixth marching band. (over Lesson 6-2)

1.A 2.B 3.C 4.D Five Minute Check 4 A.743 mm B.7,430 mm C.743,000 mm D.7,430,000 mm If 22 millimeters equals meter and meter equals kilometer, then how many millimeters are in 7.43 kilometers? Use logical reasoning. (over Lesson 6-2)

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