Angles of a polygon

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45⁰

Find the measure of each exterior angle of a regular octagon.

72⁰

Find the measure of each exterior angle of a regular pentagon.

144⁰

Find the measure of each interior angle of a regular decagon.

100⁰

Find the measure of the fourth angle of a quadrilateral if the sum of the measures of the other three angles is 260.

12

Find the number of sides of a polygon if each exterior angle measures 30 degrees

6

Find the number of sides of a polygon if the sum of the measures of the angles is 720.

720⁰

Find the sum of the interior angles of a hexagon

360⁰

Find the sum of the measures of the exterior angles of a hexagon

1260⁰

Find the sum of the measures of the interior angles of a nonagon.

13

If the sum of the interior angles is 1980, how many sides does the polygon have?

171⁰

In a hexagon, each of three angles has a measure of 83°. Two of the other angles each have a measure of 150°. What is the measure of the remaining angle?

188⁰

In a pentagon, each of two angles has a measure of 68°. Each of two other angles measures 142°. What is the measure of the remaining angle?

102⁰

In a quadrilateral, one angle measures 175°. A second angle measures 29°, while a third angle measures 54°. What is the measure of the remaining angle?

12

Name the number of sides in a regular polygon if each interior angle has a measure of 144 degrees.

8

The sum of the measures of the interior angles of a polygon is 1080°. What kind of polygon is it?


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