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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^{\circ}.$
  • Question 2:
    1 pts
    Sum of interior angles of $n-$sided polygon is $$S_{n}= (n-2)\cdot 180^{\circ}$$
  • Question 3:
    1 pts
    How many sides does a polygon have in the sum of the measures of its interior angles is $540$ degrees?
    $5$
    $6$
    $7$
    $8$
  • Question 4:
    1 pts
    The sum of the interior angles of some polygon can be $600$ degrees.
  • Question 5:
    2 pts
    Five interior angles of a hexagon are known: $85^{\circ},164^{\circ},118^{\circ},99^{\circ},132^{\circ}.$ Determine the measure of the sixth angle.

    $86^{\circ}$

    $98^{\circ}$

    $122^{\circ}$

    $186^{\circ}$

  • Question 6:
    2 pts
    The angles of $120^{\circ},142^{\circ},133^{\circ},115^{\circ},102^{\circ}$ and $128^{\circ}$ 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 $100^{\circ},110v^{\circ}$ and $120^{\circ}. $

    $286^{\circ}$

    $225^{\circ}$

    $142^{\circ}$

    $105^{\circ}$

  • Question 8:
    2 pts
    A regular polygon has interior angles that are $5$ times larger than each of its exterior angles. How many sides does the polygon have?

    $18$

    $12$

    $14$

    $17$

  • Question 9:
    3 pts
    How many sides has a polygon if the sum of its exterior angles is for $1080^{\circ}$ smaller from the sum of its interior angles?
    $6$
    $8$
    $10$
    $14$
  • Question 10:
    3 pts
    It's possible for a regular polygon to have an interior angle measure of $130^{\circ}.$
  • 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.