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  • Geometry
  • Polygons
  • Sum of Interior angles

Sum of Interior angles

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  • Question 1:
    1 pts
    Sum of angles of each triangle is 360. 360^{\circ}.
  • Question 2:
    1 pts
    Sum of interior angles of nn-sided polygon is Sn=(n2)180S_{n}= (n-2)\cdot 180^{\circ}
  • Question 3:
    1 pts
    How many sides does a polygon have in the sum of the measures of its interior angles is 540540 degrees?
    55
    66
    77
    88
  • Question 4:
    1 pts
    The sum of the interior angles of some polygon can be 600600 degrees.
  • Question 5:
    2 pts
    Five interior angles of a hexagon are known: 85,164,118,99,132.85^{\circ},164^{\circ},118^{\circ},99^{\circ},132^{\circ}. Determine the measure of the sixth angle.

    8686^{\circ}

    9898^{\circ}

    122122^{\circ}

    186186^{\circ}

  • Question 6:
    2 pts
    The angles of 120,142,133,115,102120^{\circ},142^{\circ},133^{\circ},115^{\circ},102^{\circ} and 128128^{\circ} can be the interior angles of some hexagon.
  • Question 7:
    2 pts
    In the pentagon two of the interior angles are equal. Find their measures if the measure of the remainder angles are 100,110v100^{\circ},110v^{\circ} and 120.120^{\circ}.

    286286^{\circ}

    225225^{\circ}

    142142^{\circ}

    105105^{\circ}

  • Question 8:
    2 pts
    A regular polygon has interior angles that are 55 times larger than each of its exterior angles. How many sides does the polygon have?

    1818

    1212

    1414

    1717

  • Question 9:
    3 pts
    How many sides has a polygon if the sum of its exterior angles is for 10801080^{\circ} smaller from the sum of its interior angles?
    66
    88
    1010
    1414
  • Question 10:
    3 pts
    It's possible for a regular polygon to have an interior angle measure of 130.130^{\circ}.
  • Question 11:
    3 pts
    Determine the number of diagonals of the polygon in which the sum of the exterior angles is equal to the sum of the interior angles.
    The number of diagonals ==
  • Question 12:
    3 pts
    Octagon can have four interior angles of 90 degrees.