Exterior Angle in a Regular Polygon

Q.

If each interior angle of a regular polygon is ${170}^{\circ }$, then the polygon has ___ sides.

1. 10

2. 36

3. 72

4. 20

Q. Find the measure of each interior angle of a regular polygon of $9$ sides.

1. ${160}^{\circ }$
2. ${180}^{\circ }$
3. ${120}^{\circ }$
4. ${140}^{\circ }$

Q.

If the difference between an exterior angle of an (n - 1) sided regular polygon and an (n + 1) sided regular polygon is $9^{\circ }$, the value of ‘n’ is

1. 9

2. 10

3. 6

4. 8

Q.

In a regular pentagon the ratio of interior angle : exterior angle = ___

1. 3 : 1

2. 3 : 2

3. 2 : 3

4. 1 : 3

Q.

The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1 : 5 is ___

Q.

Find the ratio between the exterior angles of a regular hexagon and regular pentagon.

1. 6: 5

2. 5: 6

3. 7: 5

4. 5: 7

Q.

If each interior angle of a regular polygon is 150°, then it has _____ sides.

1. 12

2. 11

3. 9

4. 10

Q.

If the exterior angle of a regular polygon is ${45}^{\circ }$, then it has ___sides.

1. 6

2. 12

3. 10

4. 8

Q. Find the measure of interior angle of a regular polygon with $5$ sides.

1. ${128}^{\circ }$
2. ${108}^{\circ }$
3. ${160}^{\circ }$
4. ${144}^{\circ }$

Q. A regular polygon has 12 sides, find the measure of each of its interior angles.

Q. In the figure , find the value of $x$ .

Q.

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

1. 12

2. 11

3. 10

4. 9

Q.

If each exterior angle of a regular polygon measures ${36}^{\circ }$, then it has ___ sides.

1. 9

2. 10

3. 11

4. 12