MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used

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Geometry Mini-Lesson
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?

1. 6
2. 7
3. 8
4. 9

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
Review the triangle below. What is the measure of
the exterior angle shown?

1. 42
2. 64
3. 117
4. 126

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
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
MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
In the pentagon below, what is the measure of the
exterior angle shown?

1. 45
2. 81
3. 99
4. 137

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
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
MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
7
Geometry Mini-Lesson
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?

1. 10
2. 11
3. 12
4. 13

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
Find the value of x in the pentagon below.

1. 18
2. 18.9
3. 19.6
4. 20

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
Find the value of x in the octagon below.

1. 34
2. 36
3. 57
4. 69

MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
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
MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used
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Geometry Mini-Lesson
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
MA.912.G.2.2 Determine the measures of interior
and exterior angles of polygons, justifying the
method used