Classify Polygons and Find the Sum of the Measures of the Interior Angles

Which statement is TRUE about the measures of angle x and angle y?

Given the measure of one interior angle of a regular polygon, how would you find the measure of one exterior angle?

• Subtract the measure of the interior angle from 180 

•  Add the measure of the interior angle to 180

•  Subtract the measure of the interior angle from 360

• Add the measure of the interior angle to the number of sides the polygon has 

The sum of the measures of the interior angles of a convex polygon is 3240 degrees. Classify the polygon by the number of sides.

• 16

• 18

• 20

• 22

Find the value of x. (Hint: First count the number of angles, not sides.)

• 66 1/3

• 88

• 88 1/3

• 265

Find the measures of ∠X and ∠Y.

• m∠X = m∠Y = 135 degrees

• m∠X = m∠Y = 45 degrees

• m∠X = m∠Y = 270 degrees

• m∠X = m∠Y = 90 degrees

Find the measure of each interior angle and each exterior angle of an 18-gon.

• Each interior angle: 160 degrees

  Each exterior angle: 20 degrees

• Each interior angle: 20 degrees

  Each exterior angle: 160 degrees

• Each interior angle: 2880 degrees

  Each exterior angle: 360 degrees

• Each interior angle: 108 degrees

  Each exterior angle: 72 degrees

Find the measure of each interior angle and each exterior angle of an 90-gon.

• Each interior angle: 180 degrees

  Each exterior angle: 8 degrees

• Each interior angle: 88 degrees

  Each exterior angle: 6 degrees

• Each interior angle: 15,840 degrees

  Each exterior angle: 360 degrees

• Each interior angle: 176 degrees

  Each exterior angle: 4 degrees

Find the measures of ∠X and ∠Y.

• m∠X = m∠Y = 52 degrees

• m∠X = m∠Y = 104 degrees

• m∠X = m∠Y = 142 degrees

• m∠X = m∠Y = 284 degrees

What is the sum of the measures of the interior angles of a nonagon(9 sides)?

• 900°

• 1440°

• 1080°

• 1260°

What is the sum of the measures of the interior angles of a triangle?

• 90°

• 60°

• 180°

• 120°