Interior and Exterior Angles

Front

What is an interior angle?

Back

An interior angle is an angle formed between two sides of a polygon that is inside the polygon.

Front

What is an exterior angle?

Back

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

Front

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

Back

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

Front

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

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

If one interior angle of a triangle is 50°, what is the sum of the other two angles?

Back

The sum of the interior angles of a triangle is always 180°. Therefore, the sum of the other two angles is 180° - 50° = 130°.

Front

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

Back

Each interior angle in a regular hexagon measures 120°.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180°.

Front

What is the formula for calculating the exterior angle of a triangle?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

If a polygon has 8 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of an 8-sided polygon (octagon) is (8 - 2) × 180° = 1080°.

Front

What is the measure of an exterior angle of a regular pentagon?

Back

Each exterior angle of a regular pentagon measures 72°.