Week 15 Polygon Angles Flashcard

Front

What is the SUM of the angle measures in 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 measure of one interior angle in a regular polygon?

Back

The measure of one 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 35-gon?

Back

The sum of the interior angles of a 35-gon is 5940°.

Front

How do you find the measure of one angle in a regular octagon?

Back

For a regular octagon (8 sides), the measure of one angle is ((8 - 2) × 180°) / 8 = 135°.

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180°).

Front

If ∠C in a parallelogram ABCD is 22°, what is the measure of ∠A?

Back

∠A = 22° (since opposite angles are equal in a parallelogram).

Front

What is the formula to find the length of a side in a triangle given two sides and the included angle?

Back

Use the Law of Cosines: c² = a² + b² - 2ab * cos(C), where C is the included angle.

Front

What is the measure of the exterior angle of a polygon?

Back

The measure of an exterior angle of a regular polygon is 360° / n, where n is the number of sides.

Front

How do you calculate the number of sides in a polygon if the sum of the interior angles is known?

Back

Use the formula: n = (sum of interior angles / 180°) + 2.