Sum of Exterior Angles in a Polygon

Q.

What is the measure of any exterior angle of a regular nonagon?

1. ${40}^{\circ }$

2. ${100}^{\circ }$

3. ${140}^{\circ }$

4. ${90}^{\circ }$

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

1. 
2. 
3. 
4. 

Q.

In a quadrilateralABCD, $\angle A={150}^{\circ }$, $\angle B=\angle C=\angle D.$Find angle $B,C,D.$

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.

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

1. 30

2. 40

3. 50

4. 60

Q. Question 6 (b)
(b) What is the maximum exterior angle possible for a regular polygon?

Q.

If the sum of exterior angles of a polygon is one-ninth the sum of its interior angles, then the polygon has ___ sides.

1. 20

2. 18

3. 180

4. 182

Q. Find the measure of each exterior angle of a regular polygon of $15$ sides.

Q.

Sum of exterior angles of a polygon depends on the number of sides of the polygon.

1. True

2. False

Q.

The sum of exterior angles of a polygon is one-third of the sum of interior angles. Find the number of sides in the polygon.

1. 6

2. 5

3. 8

4. 10

Q. How many sides does a regular polygon have, if the measure of an exterior angle is ${24}^{\circ }$?

Q. What is the minimum interior angle possible for a regular polygon?

1. 70°
2. 60°
3. 45°
4. 80°

Q.

Two angles form a linear pair. They are represented by x + 30 and 3x - 10 respectively. What are the measures of the angles?

1. 70 and 110

2. 60 and 120

3. 40 and 140

4. 50 and 130

Q. How many sides does a polygon have if the sum of the interior angles is ${540}^o$?

Q. The sum of the interior angles of a polygon is three times the sum of its exterior angles. The number of sides of the polygon is:

1. $5$
2. $6$
3. $7$
4. $8$

Q. The sum of interior angles of a polygon is eight times the sum of its exterior angles. How many sides does this polygon have?

1. $12$
2. $19$
3. $18$
4. $16$

Q.

From the given figure, the volume of x is___

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

2. ${80}^{\circ }$

3. ${85}^{\circ }$

4. ${100}^{\circ }$

Q.

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

1. ${30}^{\circ }$
2. ${40}^{\circ }$
3. ${50}^{\circ }$
4. ${60}^{\circ }$

Q.

If the interior angle of a regular polygon is equal to the exterior angle, the number of sides in the polygon is

1. 5

2. 4

3. 6

4. 7

Q. Question 61
Fill in the blanks to make the statements true.
The number of sides of a regular polygon, where each exterior angle has a measure of ${36}^{\circ }$, is ___.

Q. Find the sum of the exterior angles of a regular polygon of 15 sides.

1. 156 degrees
2. 360 degrees
3. 280 degrees
4. 24 degrees

Q.

In the given figure, x = ___

Q.

Three exterior angles of a hexagon are ${40}^{\circ },{51}^{\circ }$ and ${86}^{\circ }$. If each of the remaining exterior angles is $x^{\circ }$, then x=___

1. 36°

2. 54°

3. 18°

4. 44°

Q. The sum of the interior angles of a polygon is three times the sum of its exterior angles. Find the number of sides of the polygon.

1. 7
2. 5
3. 6
4. 8

Q. What is the minimum interior angle possible for a regular polygon?

1. 70°
2. 60°
3. 45°
4. 80°

Q.

Find $\angle ABF$ from the given figure.

1. 45º

2. 60º

3. 75º

4. 30º

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

Q. In the given figure, find $a+b+c+d$.

1. ${180}^{\circ }$
2. ${360}^{\circ }$
3. ${100}^{\circ }$
4. ${210}^{\circ }$

Q. How many sides does a polygon have if sum of its interior angles is 3780⁰?

Q.

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

1. ${30}^{\circ }$
2. ${40}^{\circ }$
3. ${50}^{\circ }$
4. ${60}^{\circ }$