Study

Polygon Review

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  • Always, Sometimes, Never - If the number of sides of a regular polygon doubles, then the measures of each angle also doubles.
    Sometimes ( yes for triangle to hexagon but no for Square to Octagon)
  • A 21-gon has how many diagonals?
    189
  • A polygon that has 594 diagonals has ____________ angles.
    36
  • What is the sum of the exterior angles of a 100-gon?
    360°
  • Which polygon has angles which have a sum of 2520°
    16-gon
  • If the sum of the measures of six angles of a heptagon is 864°, the the measure of the seventh angle is ....
    36°
  • An 89-gon has ______________ diagonals from each vertex.
    86
  • The measure of one interior angle of a regular polygon is 144°. How many sides does it have?
    n = 10
  • The measure of one exterior angle of a regular polygon is 72. Find the number of sides.
    n=5
  • What is the measure of each exterior angle of a pentadecagon?
    Can't tell...Does not say regular
  • What is the measure of each interior angle of a regular 45-gon?
    172°
  • The measure of each exterior angles of a regular polygon is half the measure of each interior angle. What is the name of the polygon?
    Hexagon
  • Find the value of x.
    x = 13
  • Find the value of x.
    x=64
  • If the measure of each angle of a regular polygon is 169 3/33°, then it has _________ sides.
    33
  • A polygon whose interior angles have a sum smaller than the sum of its exterior angles is a ____________________.
    Triangle
  • The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Find the measure of one interior and exterior angle
    Exterior 60 - Interior 120
  • Find the measure of an interior and an exterior angle of a regular 24-gon. Both answers need to be correct.
    interior - 165 exterior - 15
  • Always, Sometimes, Never....If three additional sides are added to a polygon, the sum of its angles increases by 540°
    ALWAYS
  • What is the name of a polygon that contains 35 diagonals?
    Decagon
  • A regular polygon has exterior angles of 30 degrees. Find the total number of diagonals that can be drawn in it.
    54
  • How many triangles can be formed by drawing all possible diagonals from one vertex of a 47-gon?
    45
  • Find the probability
    13/18