Angle Measures of Polygons

Question 1

A polygon with 7 sides is shown. An angle goes inside of the shape.

Revolt · Accepted Answer

concave heptagon

Question 2

Which statements are true about polygons? Select three options.All sides and all angles in a polygon are congruent.The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.In a polygon, all segments with a common endpoint are collinear.If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Revolt · Accepted Answer

The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.; If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.; The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Question 3

Which polygon has an interior angle sum of 900°?

Revolt · Accepted Answer

A polygon has 7 sides.

Question 4

A polygon with 5 sides is shown with its exterior angles. The exterior angles are 62 degrees, 66 degrees, 77 degrees, 59 degrees, and (12 x) degrees.

Revolt · Accepted Answer

8

Question 5

What is the measure of each interior angle of a regular octagon?

Revolt · Accepted Answer

135º

Question 6

Polygon A B C D E has 5 sides.

Revolt · Accepted Answer

It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

Question 7

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

Revolt · Accepted Answer

x = 10

Question 8

A polygon with 6 sides is shown. No angles go inside of the shape.

Revolt · Accepted Answer

convex hexagon

Question 9

A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees.

Revolt · Accepted Answer

130°

Question 10

Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?

Revolt · Accepted Answer

68°

Angle Measures of Polygons Answers

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