Chapter 6.1 Angles of Polygons. Concept 1 Find the Interior Angles Sum of a Polygon A. Find the sum of the measures of the interior angles of a convex.

Slides:

Advertisements

Similar presentations

POLYGON S Interior & Exterior Angles of Irregular Polygons.

Advertisements

Find Angle Measure in Polygons

Lesson 8-1 Angles of Polygons.

Lesson 8-1 Angles of Polygons.

Lesson 6-1 Angles of Polygons

3.4 Polygons (2 cards). Polygons Naming Polygons  Name the Polygon  Name the Vertices  Name the Sides  Name the Angles.

Chapter 24 Polygons.

8.1 Angles of Polygons.

Chapter 6 Quadrilaterals.

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

EXAMPLE 1 Find the sum of angle measures in a polygon Find the sum of the measures of the interior angles of a convex octagon. SOLUTION An octagon has.

Section 6.1 Angles of Polygons

Polygons & Quadrilaterals

Warm ups Find n and list the sides of ΔPQR in order from shortest to longest if m

Lesson 8-1 Angles of Polygons Theorem 8.1 Interior Angle Sum Theorem If a convex polygon has n sides and S is the sum of the measures of its interior angles,

Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.

6-1 Angles of Polygons You named and classified polygons.

6-1 The Polygon Angle-Sum Theorems

Five-Minute Check (over Chapter 5) CCSS Then/Now New Vocabulary

Concept 1 Answer: The sum of the measures is Find the Interior Angles Sum of a Polygon A. Find the sum of the measures of the interior angles.

8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.

Objectives In this chapter you will:  Find measures of interior and exterior angles of polygons  Solve problems involving angle measures of polygons.

Find the sum of angle measures in a polygon

8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.

B E L L R I N G E R What is the measure of one exterior angle of a regular octagon? What is the measure of one interior angle of a regular decagon? How.

EXAMPLE 1 Find the sum of angle measures in a polygon Find the sum of the measures of the interior angles of a convex octagon. SOLUTION An octagon has.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 5) Then/Now New Vocabulary Theorem 6.1: Polygon Interior Angles Sum Example 1:Find the Interior.

Bell Work Find x Find x and y.

8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon.

Then: You name and classified polygons Now: 1.Find and use the sum of the measures of the interior angles of a polygon. 2.Find and use the sum of the measures.

Splash Screen. CCSS I Can Statements: I can classify polygons by the number of sides I can classify polygons by the sum of the measures of the interior.

Angles of Polygons. Objectives  Find the sum of the measures of the interior angles of a polygon  Find the sum of the measures of the exterior angles.

Objectives To identify and name polygons To find the sum of the measures of interior and exterior angles of convex and regular polygons To solve problems.

Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex,

Essential Question – How can I find angle measures in polygons without using a protractor?

12-3: Angles of Polygons Big Ideas Math, Course 2

Section 8.2. Find the measures of the interior angles of a polygon. Find the measures of the exterior angles of a polygon.

8.1 Find Angle Measures in Polygons Hubarth Geometry.

Polygons. Polygon Interior Angle Theorem The sum of the measures of the interior angles of a convex polygon is given by: Sum = 180(n – 2) where n represents.

POLYGONS 10/17/2007 NAMING POLYGONS

1. If the measures of two angles of a triangle are 19º

Polygon Worksheet 1. Concave Polygon Convex Polygon.

Polygons Subtitle.

6.1 The Polygon Angle-Sum Theorem

6.1 Notes: Angles of Polygons

Polygons and angles.

Polygons – Measurements of Angles

LESSON 6–1 Angles of Polygons.

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Interior and Exterior angles

Interior and Exterior Angles

Class Greeting.

6.1 Notes: Angles of Polygons

Find the sum of angle measures in a polygon

Find the sum of angle measures in a polygon

ANGLES OF POLYGONS.

Find Angle Measure in Polygons

Lesson 6-1 Angles of Polygons

How many diagonals in a… 1. Triangle _______ 2. Heptagon _______

1. If the measures of two angles of a triangle are 19º

LESSON 6–1 Angles of Polygons.

Chapter 8 Polygons and Area.

Angle Measures of Polygons

Angle Measures in Polygons

Five-Minute Check (over Chapter 5) Mathematical Practices Then/Now

Presentation transcript:

Chapter 6.1 Angles of Polygons

Concept 1

Find the Interior Angles Sum of a Polygon A. Find the sum of the measures of the interior angles of a convex nonagon. A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures. (n – 2) ● 180=(9 – 2) ● 180n = 9 =7 ● 180 or 1260Simplify. Answer:The sum of the measures is 1260.

A.900 B.1080 C.1260 D.1440 A. Find the sum of the measures of the interior angles of a convex octagon.

Find the Interior Angles Sum of a Polygon B. Find the measure of each interior angle of parallelogram RSTU.

A.x = 7.8 B.x = 22.2 C.x = 15 D.x = 10 B. Find the value of x.

Interior Angle Measure of Regular Polygon ARCHITECTURE A mall is designed so that five walkways meet at a food court that is in the shape of a regular pentagon. Find the measure of one of the interior angles of the pentagon.

A.130° B ° C.140° D.125.5° A pottery mold makes bowls that are in the shape of a regular heptagon. Find the measure of one of the interior angles of the bowl.

Find Number of Sides Given Interior Angle Measure The measure of an interior angle of a regular polygon is 150. Find the number of sides in the polygon.

A.12 B.9 C.11 D.10 The measure of an interior angle of a regular polygon is 144. Find the number of sides in the polygon.

Concept 2

Find Exterior Angle Measures of a Polygon A. Find the value of x in the diagram.

Find Exterior Angle Measures of a Polygon B. Find the measure of each exterior angle of a regular decagon. A regular decagon has 10 congruent sides and 10 congruent angles. The exterior angles are also congruent, since angles supplementary to congruent angles are congruent. Let n = the measure of each exterior angle and write and solve an equation. 10n=360Polygon Exterior Angle Sum Theorem n=36Divide each side by 10. Answer:The measure of each exterior angle of a regular decagon is 36.

A.10 B.12 C.14 D.15 A. Find the value of x in the diagram.

A.72 B.60 C.45 D.90 B. Find the measure of each exterior angle of a regular pentagon.