Geo - Ace Ch 19 Reading Flashcard

Front

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

Back

The measure of each interior angle in a regular polygon with n sides is given by the formula: (n-2) * 180° / n.

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 given by the formula: (n-2) * 180°.

Front

What is the sum of the exterior angles of any polygon?

Back

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

Front

How do you calculate the measure of one exterior angle of a regular polygon?

Back

The measure of one exterior angle of a regular polygon can be calculated using the formula: 360° / n, where n is the number of sides.

Front

What is the relationship between interior and exterior angles of a polygon?

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

Front

How many sides does a polygon have if the sum of its interior angles is 1080°?

Back

To find the number of sides (n), use the formula: (n-2) * 180° = 1080°. Solving gives n = 8, so the polygon is an octagon.

Front

What is the measure of one interior angle in a regular pentagon?

Back

The measure of one interior angle in a regular pentagon is 108°.

Front

If a polygon has 11 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of an 11-sided polygon is (11-2) * 180° = 1620°.

Front

What is the measure of an angle x if it is given that x + 45° = 90°?

Back

To find x, subtract 45° from 90°, so x = 45°.

Front

What is the formula to find the number of sides of a polygon if the sum of the interior angles is known?

Back

The formula to find the number of sides (n) is: n = (sum of interior angles / 180°) + 2.