What is the different formulas for interior angles of a polygon

What is the different formulas for interior angles of a polygon

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the calculation of the sum of interior angles in polygons, using the formula (n-2) * 180, where n is the number of sides. It explains how to find one interior angle in regular polygons by dividing the sum by the number of sides. Examples of regular polygons, such as equilateral triangles and hexagons, are provided to illustrate the concepts. The importance of regularity in polygons for these calculations is emphasized.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to calculate the sum of interior angles in a polygon?

n * 360

(n+2) * 180

n * 180

(n-2) * 180

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many sides does a polygon have if its interior angles sum up to 540 degrees?

3 sides

6 sides

4 sides

5 sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a regular polygon, how do you find the measure of one interior angle?

Multiply the sum of angles by the number of sides

Add the number of sides to the sum of angles

Divide the sum of angles by the number of sides

Subtract the number of sides from the sum of angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a characteristic of a regular polygon?

All sides are different

All sides and angles are equal

All angles are different

Only one angle is equal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a regular hexagon has a total angle sum of 720 degrees, what is the measure of one angle?

180 degrees

60 degrees

90 degrees

120 degrees