Angles of Polygons

Front

What is the sum of the interior angles of a polygon with n sides?

Back

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

Front

How do you determine if a figure is a polygon?

Back

A figure is a polygon if it is a closed shape formed by straight line segments.

Front

What is a convex polygon?

Back

A convex polygon is a polygon where all interior angles are less than 180° and no line segment between two points on the boundary ever goes outside the polygon.

Front

What is a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 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 of a regular hexagon?

Back

Each interior angle of a regular hexagon measures 120°.

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the exterior angle of a polygon?

Back

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

Front

What is the relationship between the 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 find the measure of a missing angle in a polygon?

Back

To find a missing angle, use the sum of the interior angles formula and subtract the known angles from the total.