Interior and Exterior angles

Front

What is an interior angle?

Back

An interior angle is the angle formed between two sides of a polygon that meet at a vertex, located inside the polygon.

Front

What is an exterior angle?

Back

An exterior angle is the angle formed between one side of a polygon and the extension of an adjacent side, located outside the polygon.

Front

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

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the relationship between an interior angle and its corresponding exterior angle?

Back

An interior angle and its corresponding exterior angle are supplementary, meaning they add up to 180 degrees.

Front

How do you calculate the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180 degrees, where n is the number of sides.

Front

If a polygon has 5 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a 5-sided polygon (pentagon) is (5 - 2) × 180 = 540 degrees.

Front

What is the measure of each interior angle in a regular hexagon?

Back

In a regular hexagon, each interior angle measures 120 degrees.

Front

What is the measure of each exterior angle in a regular polygon?

Back

The measure of each exterior angle in a regular polygon can be calculated using the formula: 360 degrees / n, where n is the number of sides.

Front

If one exterior angle of a polygon is 30 degrees, how many sides does the polygon have?

Back

If one exterior angle is 30 degrees, the polygon has 360 / 30 = 12 sides.

Front

What is the formula for finding the measure of an interior angle of a regular polygon?

Back

The measure of an interior angle of a regular polygon can be found using the formula: ((n - 2) × 180) / n, where n is the number of sides.