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  • Geometry
  • Polygons
  • Angles of regular polygons

Angles of regular polygons

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  • Question 1:
    1 pts
    		The size of the exterior angles of the regular polygon shown on the picture is $220^{\circ}.$
  • Question 2:
    1 pts
    		The size of the interior angles of the regular polygon shown on the picture is $160^{\circ}.$
  • Question 3:
    1 pts
    		Find the size of an interior angle of a regular polygon with $20$ sides.
  • Question 4:
    1 pts
    		Which regular polygons have the exterior angles of $9$ degrees?

    $36-$ sided polygon

    $38-$ sided polygon

    $40-$ sided polygon

    $42-$ sided polygon

  • Question 5:
    2 pts
    		Here is the vertex of a regular polygon. How many sides does it have?
    $9$
    $11$
    $13$
    $15$
  • Question 6:
    2 pts
    		The diagrams shows a regular decagon. Find the measure of angle marked $x.$
    $x=18^{\circ}$
    $x=20^{\circ}$
    $x=26^{\circ}$
    $x=56^{\circ}$
  • Question 7:
    2 pts
    		The diagram shows a regular hexagon joined to a regular pentagon. The angles labelled $a, b$ and $c$ are equal $$a=108^{\circ}, b=120^{\circ} \mbox{ and } c=132^{\circ}. $$
  • Question 8:
    2 pts
    		One exterior angle of the regular polygon is $20$ degrees. Find the sum of its interior angles.

    $1620^{\circ}$

    $2160^{\circ}$

    $2700^{\circ}$

    $2880^{\circ}$

  • Question 9:
    3 pts
    		Rectangular flowerbeds are built on each side of a fishpond in the shape of a regular octagon. What is the measure of the angle $x$, between two consecutive flowerbeds?
    $20^{\circ}$
    $30^{\circ}$
    $40^{\circ}$
    $45^{\circ}$
  • Question 10:
    3 pts
    		The regular polygon shown on the picture have $18$ sides.

Triangle

Quadrilateral

Circle

Polygons