INTERIOR ANGLES OF A REGULAR POLYGON WORKSHEET

Problem 1 :

Solve for x.

Solution

Problem 2 :

Solve for x.

Solution

Problem 3 :

Solve for x.

Solution

Problem 4 :

The sum of the angles of a polygon is 1980°. How many angles has the polygon?

Solution

Problem 5 :

Juan claims to have found a polygon which has angles with a sum of 2500°. Comment on Juan’s finding.

Solution

Problem 6 :

An exterior angle and the interior angle of a regular polygon are in the ratio 2 : 7. Find the number of sides of a polygon.

Solution

Problem 7 :

Four angles of a quadrilateral are in the ratio of 3 : 4 : 5 : 6. Find its angles.

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Solution

Problem 11 :

Solution

Problem 1 :

Find the number of sides of a regular polygon which has angles of 150°

Solution

Problem 2 :

Is there a regular polygon which has the angle of 158°

Solution

Problem 3 :

For the following regular polygon given below,

find

(i)  Number of sides that the polygon has

(ii) Number of angles

(iii)  Size of each angle.

Solution

Problem 4 :

In an equilateral hexagon, four of the exterior angles each have a measure of x°. The other two exterior angles each have a measure of twice the sum of x and 48. Find the measure of each exterior angle.

Solution

Problem 5 :

Is the hexagon a regular hexagon. Explain your reasoning.

Solution

Problem 6 :

Describe and correct the error in finding the measure of one exterior angle of a regular pentagon.

Problem 7 :

Find the number of sides for the regular polygon described.

Each interior angle has a measure of 156°.

Solution

Problem 8 :

A home plate for a baseball field is shown.

a. Is the polygon regular? Explain your reasoning.

b. Find the measures of ∠C and ∠E.

Solution

Problem 1 :

Find the size of each angle of a regular 12 sided polygon.

Problem 2 :

Each exterior angle of a regular polygon is 20⁰. Work out the number of sides of the polygon.