Period 8 Angles & Polygons Review 2024

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 degrees.

Front

How do you find the measure of one interior angle of a regular polygon?

Back

To find the measure of one interior angle of a regular polygon, use the formula: (n - 2) × 180 / n, where n is the number of sides.

Front

What is the value of x if the angles are complementary and one angle measures 30 degrees?

Back

x = 90 - 30 = 60 degrees.

Front

What is the value of x if the angles are supplementary and one angle measures 110 degrees?

Back

x = 180 - 110 = 70 degrees.

Front

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

Back

The sum of the interior angles is (11 - 2) × 180 = 1620 degrees.

Front

What is the measure of each exterior angle of a regular polygon with 12 sides?

Back

Each exterior angle = 360 / 12 = 30 degrees.

Front

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

Back

Interior and exterior angles are supplementary; they add up to 180 degrees.

Front

If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle = 180 - (50 + 60) = 70 degrees.

Front

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

Back

n = (sum of interior angles / 180) + 2.

Front

What is the measure of an angle if it is 20 degrees less than twice its complement?

Back

Let x be the angle. Then, x = 2(90 - x) - 20. Solving gives x = 40 degrees.