Unit 5.2 Interior Angles of a Polygon

Front

What is an interior angle of a polygon?

Back

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

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°, where n is the number of sides.

Front

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

Back

In a regular polygon, each interior angle can be calculated using the formula: [(n - 2) × 180°] / n, where n is the number of sides.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

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°.

Front

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

Back

Each interior angle in a regular hexagon is [(6 - 2) × 180°] / 6 = 120°.

Front

How many sides does a polygon have if the sum of its interior angles is 720°?

Back

A polygon with a sum of interior angles of 720° has 8 sides (octagon), calculated using the formula: n = (720° / 180°) + 2.

Front

What is the relationship between the number of sides and the measure of each interior angle in a regular polygon?

Back

As the number of sides increases, the measure of each interior angle in a regular polygon also increases.

Front

What is the measure of a single interior angle in a 16-gon?

Back

The measure of a single interior angle in a 16-gon is 157.5°, calculated using the formula: [(16 - 2) × 180°] / 16.

Front

If one interior angle of a polygon is 150°, what can you say about the polygon?

Back

If one interior angle is 150°, the polygon is not regular, as regular polygons have equal interior angles.