Sum of all Exterior Angles of a Polygon

Q. What is the measure of each exterior angle of a regular dodecagon?

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${40}^{\circ }$

Q. The measure of an exterior angle of a triangle is equal to the sum of the measures of the adjacent interior angles.

1. True
2. False

Q.

What is the size of the exterior angle of a regular hexagon?

Q. The exterior angle of regular hexagon is equal to the interior angle of which regular polygon?

1. Equilateral Triangle
2. Square
3. Rhombus
4. Rectangle

Q. The measure of each exterior angle of a regular polygon of 15 sides is:

Q.

The measure of each exterior angle of a regular pentagon is __________.

Q. The exterior angle measure of regular polygon having three sides is.

1. ${118}^o$
2. ${120}^o$
3. ${180}^o$
4. ${90}^o$

Q. Two alternate sides of a certain regular polygon meet at right angles when extended. Identify the polygon.

1. Septagon
2. Hexagon
3. Octagon
4. Nonagon

Q. The sum of all the exterior angles of a $13$ sided polygon whose one interior angle is equal to ${32}^{\circ }$ is

1. ${142}^{\circ }$
2. ${152}^{\circ }$
3. ${360}^{\circ }$
4. ${148}^{\circ }$

Q. For the given equilateral triangle, calculate the sum of the exterior angles $\angle B$ and $\angle C$.

1. ${120}^{\circ }$
2. ${180}^{\circ }$
3. ${240}^{\circ }$
4. ${210}^{\circ }$

Q. The sum of the exterior angles of a square is ${360}^{\circ }$ and that of a hexagon is ${720}^{\circ }$.

1. True
2. False

Q. Find the values of $x$ and $y$ in the given figure ?

1. $x={60}^o$ and $y={90}^o$
2. $x={120}^o$ and $y={90}^o$
3. $x={90}^o$ and $y={60}^o$
4. $x={90}^o$ and $y={120}^o$

Q.

If the exterior angle of a regular polygon equals $120$ degrees, what shape is the polygon?

Q. The perimeter of regular polygon having one of its exterior angle as ${72}^o$ is $30$ cm. What is the length of side of equilateral triangle whose perimeter is equal to the length of one side of the polygon?

1. $6$ cm
2. $3$ cm
3. $2$ cm
4. Cannot be determined.

Q. Find the value of $x$.

1. ${50}^o$
2. ${60}^o$
3. ${40}^o$
4. ${52}^o$

Q. Calculate the value of each exterior angle of a regular octagon.

1. ${55}^{\circ }$
2. ${45}^{\circ }$
3. ${65}^{\circ }$
4. ${50}^{\circ }$