ma.912.g.2.2: determine the measures of interior and exterior angles of polygons, justifying the...

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Page 1: 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
Page 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

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

Page 3: 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

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°

Page 4: 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

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

Page 5: 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

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°

Page 6: 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

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

Page 7: 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

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

Page 8: 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

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.

Page 9: 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

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

Page 10: 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

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

Page 11: 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

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