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MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Tony is drawing a regular polygon. He has.

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Presentation on theme: "MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Tony is drawing a regular polygon. He has."— Presentation transcript:

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2 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Tony is drawing a regular polygon. He has drawn two of the sides with an interior angle of 120°, as shown below. How many sides will the regular polygon have when Tony completes his drawing? A. 6 B. 7 C. 8 D. 9

3 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Review the triangle below. What is the measure of the exterior angle shown? A.42° B.64° C.117° D.126°

4 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown. When John completes his regular polygon, what will be the sum, in degrees, of the measures of the interior angles? Gridded Response Correct Answer: 1080

5 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used In the pentagon below, what is the measure of the exterior angle shown? A.45° B.81° C.99° D.137°

6 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Mindy is drawing a regular polygon. She has drawn two sides with an exterior angle measure of 36°, as shown below. When she completes her regular polygon, what will be the sum, in degrees, of the measures of the interior angles? Gridded Response Correct Answer: 1440

7 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Sonja is drawing a regular polygon. She has drawn two of the sides with an interior angle of 150°, as shown. How many sides will the regular polygon have when Sonja completes her drawing? A.10 B.11 C.12 D.13

8 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used A. 18 B. 18.9 C. 19.6 D. 20 Find the value of x in the pentagon below.

9 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Find the value of x in the octagon below. A.34 B.36 C.57 D.69

10 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used A regular pentagon and a regular hexagon share a vertex, as shown below. What is the value of x, in degrees? Gridded Response Correct Answer: 13

11 MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used A regular pentagon shares each of its sides with an equilateral triangle, as shown. What is the value of x, in degrees? Gridded Response Correct Answer: 132


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