Formula for Angle of a Regular Polygon

Q. The sum of angles of a polygon is ${1440}^{\circ }$. Find the number of sides of the polygon.

1. 8 sides
2. 12 sides
3. 7 sides
4. 10 sides

Q. Each interior angle of a regular octagon =

1. ${120}^{\circ }$
2. ${135}^{\circ }$
3. ${150}^{\circ }$
4. ${108}^{\circ }$

Q.

What is the sum of the interior angles of a regular pentagon (regular polygon of 5 sides)?

1. ${180}^{\circ }$

2. ${360}^{\circ }$

3. ${540}^{\circ }$

4. ${640}^{\circ }$

Q.

What is the interior angle of a regular octagon (regular polygon of 8 sides)?

1. ${120}^{\circ }$

2. ${150}^{\circ }$

3. ${135}^{\circ }$

4. ${180}^{\circ }$

Q.

Find the number of sides of a regular polygon whose interior angle is ${150}^{\circ }$.

1. Decagon

2. Dodecagon

3. Triskaidecagon

4. Hendecagon

Q. Question 40
Which of the following can never be the measure of the exterior angle of a regular polygon?
a) ${22}^{\circ }$
b) ${36}^{\circ }$
c) ${45}^{\circ }$
d) ${30}^{\circ }$

Q. Find measure of each angle of a 10 sided regular polygon.

Q. Sum of the interior angles of a regular pentagon =

1. ${180}^{\circ }$
2. ${360}^{\circ }$
3. ${540}^{\circ }$
4. ${640}^{\circ }$

Q.

The exterior angle of a regular polygon is one – third of its interior angle. How many sides has the polygon?

1. Decagon

2. Octagon

3. None of these

4. Nonagon

Q. The sum of angles of a quadrilateral is ${360}^{\circ }$.

1. True
2. False

Q.

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $\angle$ ABC = ${110}^{\circ }$, $\angle$ DAC = ${15}^{\circ }$, $\angle$ CAB=${25}^{\circ }$, AB = 5cm, CD = 7cm. Can we construct this parallelogram?

1. With ADC, yes

2. No, it is impossible

3. Yes, of course

4. With AC, yes

Q. If at least one interior angle of a polygon is greater than 180 degrees, then the polygon is called:

1. Regular Polygon
2. Convex Polygon
3. Concave Polygon
4. Irregular Polygon

Q.

The sum all exterior angles of a polygon with n sides is ___.

1. 180(n - 2) degrees

2. 180(n + 2) degrees

3. 360 degrees

4. 180 degrees

Q. What is the sum of all the angles of a quadrilateral?

1. 360 degrees
2. 90 degrees
3. 180 degrees
4. 540 degrees

Q.

The angle subtended by each angle of a regular pentagon at the centre of its circumcircle is

1. 120 degrees

2. 90 degrees

3. 72 degrees

4. 60 degrees

Q.

A trapezium can be divided into a parallelogram and a triangle

1. True

2. False

Q.

The angle subtended by each side of a regular octagon at the centre of its circumcircle is

1. 45 degrees

2. 60 degrees

3. 120 degrees

4. 90 degrees