Angle Sum Property

Q.

Maximum exterior angle possible for a regular polygon is

1. 100^o

2. 120^o

3. 60^o

4. 180^o

Q.

The interior angle of a regular polygon is 156°. Find the number of sides of the polygon

Q.

The measure of each exterior angle of a regular polygon of 12 sides is ______ .

1. 75^o

2. 45^o

3. 30^o

4. 60^o

Q. The sum of all interior angles of a 8 sided polygon is ________.

1. 
   ${180}^{\circ }$
2. ${1080}^{\circ }$
3. ${540}^{\circ }$
4. ${720}^{\circ }$

Q.

Each exterior angle of a regular decagon is

1. 36^o

2. 45^o

3. 72^o

4. 144^o

Q.

Find the number of sides of a regular polygon , the sum of whose interior angle is 1620

Q.

What is the sum of the inyternal angles in a $7$ sided polygon?

Q.

Three angles of a quadrilateral measure $55$ degree, $125$ degree, and $70$ degree. Find the fourth angle.

Q.

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

A) 10

b) 8

c) 9

d) 13

Q.

(a) What is the minimum interior angle possible for a regular polygon?

(b) What is the maximum exterior angle possible for a regular polygon?

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

Q.

A regular polygon with each exterior angle of 18^o has ______ sides.

1. 18

2. 20

3. 10

4. 12

Q. If each exterior angle of a regular polygon is ${36}^{\circ }$, then find the number of sides of the polygon and hence name the polygon.

1. 7 sides, Heptagon
2. 5 sides, Pentagon
3. 9 sides, Nonagon
4. 10 sides, Decagon

Q.

If three angles of a quadrilateral are 50^o, 70^o and 120^o, then the fourth angle of the quadrilateral is:

1. 180^o

2. 120^o

3. 240^o

4. 60^o

Q.

It is possible to have a regular polygon with measure of each exterior angle as 22 digree, how

Q.

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC = ${75}^{\circ }$, ∠ BCD = ${35}^{\circ }$ and ∠ CDA = ${135}^{\circ }$, can you construct a quadrilateral ABCD?

1. Yes

2. No

3. With the measure of BC, Yes

4. With the measure of $\angle$ DAB, Yes

Q. (a) What is the minimum interior angle possible for a regular polygon? Why?
(b) What is the maximum exterior angle possible for a regular polygon?

Q.

(a) Find the sum of all the exterior angles of a triangle.
(b) Is there a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm? [4 MARKS]

Q.

Find x in the following figures.

(a)	(b)

Q.

How many sides has a regular polygon each angle of measure 180 degree

Q. The measure of each interior angle of a regular polygon is five times the measure of its interior angle. Find:
(i) measure of each interior angle,
(ii) measure of each exterior angle and
(iii)number of sides in the polygon

Q.

The angles of a quadrilateral are in the ratio 1:2:3:4. Find all the angles of the quadrilateral.

Q.

If there is an isosceles triangle with at least one angle equal to ${60}^{\circ }$, then it must be a/ an ___triangle.

Q. In the figure given below, PTU is a straight line.

What is the value of x?

1. ${100}^{\circ }$
2. ${110}^{\circ }$
3. ${120}^{\circ }$
4. ${130}^{\circ }$

Q.

State true or false
Sum of interior angles of a polygon doesn't depend on number of sides.

1. True

2. False

Q. What is the sum of interior angles a convex polygon having 'n' sides?

1. $n\times {180}^0$
2. $(n-1)\times {180}^0$
3. $(n-2)\times {180}^0$
4. $(n-3)\times {180}^0$

Q.

Three angles of a quadrilateral are in the ratio 2:3:5 and the fourth angle is 90°. Find the measures of the other three angles.

Q.

If ABCD is a parallelogram, then which of the following is true?

1. AB=AC

2. $\angle A={130}^{\circ },\angle C={130}^{\circ },\angle B={50}^{\circ }$

3. AC=BD

4. $AB\perp AD$

Q.

How do you find the sum of the interior angle measures in hexagon?

Q.

Third exterior angle of a triangle with two exterior angles 90^o and 135^o is _______ .

1. 95^o

2. 65^o

3. 105^o

4. 135^o