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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.