What is the relationship between interior and exterior angles of a polygon?

The interior and exterior angles of a polygon are supplementary, meaning they add up to $$180^\text{°}$$ .

Calculate the sum of the interior angles of a 24-gon.

The sum of the interior angles of a 24-gon is $$(24 - 2) \times 180^\text{°} = 3960^\text{°}$$ .

What is the measure of one exterior angle in a regular hexagon?

The measure of one exterior angle in a regular hexagon is $$60^\text{°}$$ .

What is the sum of the interior angles of a triangle?

The sum of the interior angles of a triangle is always $$180^\text{°}$$ .

If a polygon has 10 sides, what is the sum of its interior angles?

The sum of the interior angles of a decagon (10-gon) is $$(10 - 2) \times 180^\text{°} = 1440^\text{°}$$ .

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

The measure of one interior angle of a regular octagon is $$135^\text{°}$$ .

How do you determine the number of sides of a polygon if you know the measure of one exterior angle?

To determine the number of sides (n) of a polygon, use the formula: $$n = \frac{360^\text{°}}{\text{measure of one exterior angle}}$$ .

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

The measure of one interior angle of a regular pentagon is $$108^\text{°}$$ .

Interior and Exterior Polygon Angles Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

How do you find the measure of one interior angle of a regular polygon?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What is the sum of the exterior angles of any polygon?

Back

5.

FLASHCARD QUESTION

Front

How many sides does a polygon have if the sum of its interior angles is 1080°?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

If one interior angle of a regular polygon is 135°, how many sides does it have?

Back

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