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.

Tags

CCSS.2.G.A.1

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.

Tags

CCSS.2.G.A.1

Front

What is a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 180°.

Tags

CCSS.2.G.A.1

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.

Tags

CCSS.4.G.A.2

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.

Tags

CCSS.8.G.A.5

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.