Angles in Polygons

Front

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

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

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

Back

The polygon has 8 sides.

Front

What is the measure of each interior angle in a regular polygon with 5 sides?

Back

Each interior angle measures 108°.

Front

What is the measure of each exterior angle in a regular polygon with 8 sides?

Back

Each exterior angle measures 45°.

Front

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

Back

The sum of the exterior angles of any polygon is always 360°.

Front

If a regular polygon has an exterior angle of 30°, how many sides does it have?

Back

The polygon has 12 sides.

Front

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

Back

The interior angle and exterior angle at each vertex of a polygon are supplementary, meaning they add up to 180°.

Front

How do you calculate the measure of an interior angle of a regular polygon?

Back

To find the measure of an interior angle of a regular polygon, use the formula: (n - 2) × 180° / n, where n is the number of sides.

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°.

Front

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

Back

The sum of the interior angles of a 10-sided polygon is 1440°.