Sum of Interior angles

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.

Sum of Interior angles

Triangle

Quadrilateral

Circle

Polygons