Sum of Exterior Angles of a Polygon

Q. A regular polygon with each exterior angle = ${40}^{\circ }$ is a

1. nonagon
2. decagon
3. octagon

Q. The sum of exterior angles of a polygon with 13 sides is _____ degrees.

1. 1040
2. 180
3. 900
4. 360

Q.

Find the number of sides of a regular polygon if each of its interior angles measures$162°$.

Q.

Find the value of $\angle$x in the following figure.

1. ${90}^{\circ }$

2. ${70}^{\circ }$

3. ${80}^{\circ }$

4. ${60}^{\circ }$

Q. Find the number of sides in a polygon, if the sum of its interior angles is ${1440}^{\circ }$.

1. 10
2. 8
3. 15
4. 6

Q.

If the ratio between the interior and exterior angles of a regular polygon is 14 : 1, then the measure of each exterior angle is ___.

1. ${11}^{\circ }$

2. ${12}^{\circ }$

3. ${15}^{\circ }$

4. ${24}^{\circ }$

Q.

Find the measure of each exterior angle of a regular pentagon, hexagon, heptagon, and polygon of $15$ sides.

Q.

If the ratio of the exterior angle and interior angle of a regular polygon is 2: 3, the the polygon has ____ sides.

1. 12

2. 11

3. 10

4. 9

Q.

If the ratio between the interior and exterior angles of a regular polygon is 14 : 1, then the polygon has ___ sides.

1. 50

2. 60

3. 30

4. 40

Q.

The sum of exterior angles of a polygon depends on

1. the number of interior angles

2. whether a polygon is regular or not

3. none of the above

4. the number of sides

Q.

Find the number of sides of a regular polygon if each of its interior angles measures$150°$.

Q. The measure of each exterior angle of regular pentagon is

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${72}^{\circ }$

Q.

If a regular polygon has n sides, then the sum of its exterior angles is

1. 
2. 
3. 
4. 

Q.

A polygon has 4 sides. Lengths of the sides are $4cm,4cm,4cmand5cm$. This is a regular polygon.

1. True
2. False

Q.

In the given figure, a + b + c + d + e + f = ___.

1. 270°

2. 180°

3. 720°

4. 360°

Q. What is the value of a ?

1. 90
2. 10
3. 180
4. 2

Q.

The vertex is the _____ of a polygon.

1. area

2. exterior

3. corner

4. interior

Q. How can we find the number of side and interior angles if We have exterior angle?

Q.

The sum of interior angles of a polygon of n sides = _______.

1. Straight

2. Circular

3. Point

4. Round

Q.

Sum of exterior angles of a hexagon = ___.

1. 2 right angles

2. 5 right angles

3. 4 right angles

4. 3 right angles

Q.

Find $\angle ABF$ from the given figure.

1. 30º

2. 60º

3. 75º

4. 45º

Q. If the ratio between the interior and exterior angles of a regular polygon is 14 : 1, then the polygon has ___ sides.

1. 20
2. 30
3. 40
4. 60

Q. The measure of the exterior angle, ∠BCD of ∆ABC is 130°; m∠ABC = 60°. Find the measure of ∠BAC.

Q. How many sides does a regular polygon have with its interior angle as eight times its exterior angle.

1. $16$
2. $24$
3. $18$
4. $20$

Q.

Find the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : .5

1. 10

2. 15

3. 12

4. 14

Q.

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

1. 24 degrees

2. 156 degrees

3. 360 degrees

4. 280 degrees

Q. The difference between the exterior angles of two regular polygons, having the sides equal to $(n-1)$ and $(n+1)$ is $9^{\circ }$. Find the value of $n$.

1. $n=11$
2. $n=12$
3. $n=8$
4. $n=9$

Q.

In the given diagram, the value of x is ___ degrees.

Q.

In the given figure, find the value of 'x'.

1. 30

2. 40

3. 50

4. 60

Q.

The sum of the measure of exterior angles (in degrees) of a polygon with n sides is ___.

1. 360

2. 180(n - 2)

3. 180(n + 2)

4. (n - 2)/180