Interior and Exterior Angles

Front

What is an interior angle of a polygon?

Back

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

Front

What is an exterior angle of a polygon?

Back

An exterior angle is formed by one side of a polygon and the extension of an adjacent side, located outside the polygon.

Tags

CCSS.8.G.A.5

Front

How do you calculate the sum of 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

How do you calculate the sum of exterior angles of a polygon?

Back

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

Front

What is the relationship between interior and exterior angles at a vertex?

Back

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

Tags

CCSS.7.G.B.5

Front

If a triangle has angles measuring 50° and 60°, what is the measure of the third angle?

Back

The third angle measures 70°, calculated as 180° - (50° + 60°).

Tags

CCSS.8.G.A.5

Front

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

Back

Each interior angle of a regular hexagon measures 120°, calculated as (6 - 2) × 180° / 6.

Front

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

Back

Each exterior angle of a regular pentagon measures 72°, calculated as 360° / 5.

Front

In a circle, what is the relationship between the measure of an arc and the central angle?

Back

The measure of an arc is equal to the measure of the central angle that subtends it.

Tags

CCSS.HSG.C.B.5

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle formed is equal to half the sum of the measures of the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2