EXTERIOR ANGLES OF A CIRCLE

Front

What is an exterior angle of a circle?

Back

An exterior angle of a circle is formed by one side of a polygon and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle can be calculated using the formula: Exterior Angle = 180° - Interior Angle.

Front

What is the relationship between an exterior angle and its corresponding interior angle?

Back

The exterior angle is supplementary to its corresponding interior angle, meaning they add up to 180°.

Front

If one exterior angle of a polygon is 70°, what is the measure of the corresponding interior angle?

Back

The corresponding interior angle is 110° (180° - 70°).

Front

What is the sum of all exterior angles of a polygon?

Back

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

Front

If a circle has an exterior angle of 45°, what is the measure of the corresponding interior angle?

Back

The corresponding interior angle is 135° (180° - 45°).

Front

How can you find the value of x in an exterior angle problem?

Back

To find the value of x, set up an equation using the relationship between the exterior angle and the opposite interior angles, then solve for x.

Front

What is the formula for finding the measure of an exterior angle in a regular polygon?

Back

The formula is: Exterior Angle = 360° / n, where n is the number of sides of the polygon.

Front

If a triangle has one exterior angle measuring 120°, what are the measures of the two opposite interior angles?

Back

The two opposite interior angles must sum to 120°.

Front

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

Back

The measure of an exterior angle of a regular pentagon is 72° (360° / 5).