geometry

What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?

  1. 👍
  2. 👎
  3. 👁
  1. Are you talking about regular polygons?

    For a regular polygon with N sides, each exterior angle is 360/N degrees and the interior angles are 180 - (360/N). The central angle (subtended by each side from the center) is 360/N.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math please helppp

    1 Find the missing angle measure in the polygon A ] 77 B ] 87 C ] 97 D ] 107 i think its b 2 Find the sum of the interior angles in 10 - sided polygon A ] 1,260 B ] 1,440 c ] 1,620 d ] 1,800 i think its c or b 3 Find the measure

  2. Math

    1. The measure of an interior angle of a regular polygon is 20 more than thrice the measure of its adjacent exterior angle. Find the number of sides of the polygon and its total number of diagonals. 2. Find the sum and difference

  3. geometry

    The Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____. (1 point) (n – 1)180o (n – 2)180o 9. What is the measure of one angle in a regular 16-gon? (1 point) 2,520o 202.5o

  4. math advanced functions

    a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length

  1. geometry

    A regular polygon has 12 sides. What is the measure of each EXTERIOR angle?

  2. la geomotry

    Which biconditional is NOT a good definition? A; An angle is obtuse if and only if its measure is greater than 180.

  3. Math

    The measure of an exterior angle of an equiangular polygon is twice that of an interior angle. What is the name of the polygon?

  4. math

    The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of the polygon

  1. geometry

    If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find a. the size of each exterior angle b. the number of sides of the polygon c. the sum of the interior angles d. Name the polygon

  2. math

    The measure of an interior angle of a regular polygon is 135 degrees. Find the number of sides in the polygon. This is what I tried: 180(x-2)=135 [Interior Angle Sum Theorem] x-2=.75 x=2.75 That can't be right though. Help? Not

  3. geometry

    1) A billboard on level ground is supported by a brace, as shown in the accompanying diagram. The measure of angle A is 15 degrees is greater than twice the measure of Angle B. Determine the measure of Angle A and the measure of

  4. geometry

    If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?

You can view more similar questions or ask a new question.