Polygon Angle Sum Theorem Quiz

What is the formula to calculate the sum of interior angles of a polygon with 'n' sides?

• n divided by 2 times 180

• n plus 2 times 180

• n minus 2 times 180

• n times 180

If a polygon has 7 sides, what is the sum of its interior angles?

• 900 degrees

• 1080 degrees

• 1260 degrees

• 720 degrees

If a polygon has 15 sides, what is the sum of its interior angles?

• 2520 degrees

• 2340 degrees

• 2160 degrees

• 1980 degrees

A polygon has an interior angle sum of 1440 degrees. How many sides does it have?

• 8 sides

• 9 sides

• 10 sides

• 11 sides

Given a polygon with an interior angle sum of 2520 degrees, how many sides does it have?

• 16 sides

• 14 sides

• 15 sides

• 17 sides

A polygon has an interior angle sum of 6120 degrees. How many sides does it have?

• 37 sides

• 35 sides

• 34 sides

• 36 sides

In a hexagon, if five angles are 175, 115, 90, 90, and 170 degrees, what is the measure of the sixth angle?

• 90 degrees

• 75 degrees

• 85 degrees

• 80 degrees

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

• 100 degrees

• 110 degrees

• 120 degrees

• 130 degrees

What is the sum of the interior angles of a quadrilateral?

• 450 degrees

• 360 degrees

• 180 degrees

• 270 degrees

In a quadrilateral, if the angles are expressed as 3x, 3x, 4x, and a constant, what is the value of x if the sum of the angles is 360 degrees?

• 24.6

• 26.6

• 28.6

• 30.6