Worksheet: Angles in Regular Polygons

In this worksheet, we will practice investigating the sum of the measures of angles in a regular polygon and finding the measure of unknown angles.

Q1:

Consider the given regular octagon.

What is the number of triangles in it?

What is the sum of the angles in it?

What is the measure of one of its angles?

Q2:

Consider the given regular hexagon.

What is the number of triangles in it?

What is the sum of the angles in it?

Q3:

Consider the given regular heptagon.

What is the number of triangles in it?

What is the sum of the angles in it?

Q4:

Find the sum of angles in a regular pentagon.

Q5:

Find the sum of angles in the given square.

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