Pentagon

Q.

Is it possible to have a regular polygon with measure of each exterior angle as $22°$? Can it be an interior angle of a regular polygon? Why?

Q.

The measure of each interior angle of a regular pentagon is

1. On the boundary
2. Exterior of the figure
3. Interior of the figure
4. In the ground

Q.

The number of triangles formed by joining the diagonals of a pentagon is ___.

Q.

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

1. 2 : 3

2. 3 : 2

3. 1 : 3

4. 3 : 1

Q. In a pentagon, for every angle there are opposite angles.

1. 1
2. 2
3. 3

Q.

If the ratio between the exterior angle and interior angle of a regular polygon is 2: 3, then the polygon is ___.

1. triangle

2. hexagon

3. pentagon

4. decagon

Q. How many diagonals are three in pentagon?

1. $5$
2. $7$
3. $10$
4. $6$

Q.

In a pentagon, if two interior angles are ${140}^{\circ }$ and ${160}^{\circ }$, and the remaining angles are in the ratio 1 : 3 : 4, then its smallest angle measures ____ .

1. 90°

2. 30°

3. 120°

4. 20°

Q. Which of the following statements are true:

(i) The vertex of an angle lies in its interior.
(ii) The vertex of an angle lies in its exterior.
(iii) The vertex of an angle lies on it.

Q. Give two examples each of right, acute and obtuse angles from your environment.

Q.

The sum of interior angles of a pentagon is ____.

1. 2 right angles

2. 3 right angles

3. 6 right angles

4. 5 right angles

Q. Answer the following questions in relation to the figure in Q.4.

(7) Write the angles which are adjacent to ∠BOD.

Q.

In the given figure, x = ___

1. ${53}^{\circ }$

2. ${50}^{\circ }$

3. ${70}^{\circ }$

4. ${63}^{\circ }$

Q. The vertex of an angles lies

(a) in its interior
(b) in its exterior
(c) on the angle
(d) inside the angle

Q.

The sum of exterior angles of a pentagon is _____.

1. 440°

2. 360°

3. 180°

4. 540°

Q. The vertex of an angles lies

(a) in its interior
(b) in its exterior
(c) on the angle
(d) inside the angle

Q. Where does the vertex of an angle lie?
(a) in its interior
(b) in its exterior
(c) on the angle
(d) none of these