Polygons Checkpoint Quizzes

A regular polygon is hidden. Marty is told the total measure of interior angles of this 

regular polygon is 1,800°. 

What is the total number of sides of this hidden regular polygon? (enter answer only)

A regular polygon is hidden. Sarah is told the measure of one interior angle of this 

regular polygon is 150°. 

What is the total number of sides of this hidden regular polygon? (enter answer only)

A regular polygon is hidden. Harry is told the measure of one exterior angle of this 

regular polygon is 40°. 

What is the total number of sides of this hidden regular polygon? (enter answer only)

Amira would like to find the sum of interior angles in an octagon. Amira thinks that if she 

can divide the octagon into triangles, she can find the total interior angle sum.

How many non-overlapping triangles can be formed by drawing all possible diagonals from 

one vertex of the octagon?

Which statement justifies the interior angles sum formula"

"Interior angle sum where n is the number of sides of a regular polygon

angle sum = 180(n-2)"

• Drawing diagonals from one particular vertex of a polygon will create the same number of non-overlapping triangles as the number of sides because there is an equal relationship.

• Drawing diagonals from one particular vertex of a polygon will create the same number of non-overlapping triangles as the number of sides because the line segments that created the vertex cannot be used.

• Drawing diagonals from one particular vertex of a polygon will create two less non-overlapping triangles as the number of sides because there is an equal relationship.

• Drawing diagonals from one particular vertex of a polygon will create two less non-overlapping triangles as the number of sides because the line segments that created the vertex cannot be used.

What is the measure of one interior angle of a regular hexagon?

• 60°

• 120°

• 360°

• 720°

What is the measure of one exterior angle of a regular quadrilateral?

• 45°

• 60°

• 90°

• 120°

A convex polygon has vertices U, V, W, X, Y, and Z. Given:

∠U ≅ ∠V

∠Z ≅ ∠W

∠Y ≅ ∠X

∠X = 150° and

∠W is a right angle.

What is the measure of ∠U?

• 60°

• 90°

• 120°

• 240°

A regular hexagon is shown. Which statement explains why the equation 4x + 40 = 6x can be used to solve for x?

• All polygons have congruent angles.

• The interior angles of a regular hexagon are congruent.

• The sum of the angle measures of a hexagon is 720°.

• The value 6x equals the sum of the angles in a regular hexagon.