Complete Angle

Q.

At $2$ oclock, the hands of a clock make an acute angle and a reflex angle. Calculate the size in degrees, of each of these angles.

Q. In the figure below, OP, OQ, OR and OS are four rays. Then find
$\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}$ .

1. ${60}^{\circ }$

2. ${120}^{\circ }$

3. ${30}^{\circ }$

4. ${45}^{\circ }$

Q.

From the adjoining figure, the value of x is ____

1. ${15}^o$

2. ${30}^o$

3. ${60}^o$

4. ${20}^o$

Q.

Arun turns a right angle four times. This means that he rotated it by ___ degrees and it is called a ___ angle.

1. 270${}^{\circ }$, Reflex angle

2. 180${}^{\circ }$ , Straight angle

3. 91${}^{\circ }$ , Obtuse angle

4. 360${}^{\circ }$, Whole angle

Q.

Consider the figure:

If $\angle A$= ${50}^{\circ }$​, $\angle B$ = ${70}^{\circ }$​, and x = 2y. Then the value of angle x & y in degrees is:

1. 120
2. $x={40}^{\circ }$
3. $y={80}^{\circ }$
4. $y={40}^{\circ }$

Q. If there are three angles at a point and they are in the ratio 1 : 3 : 2, What is the value of each angle ?

1. 60°, 180° and 120°
2. 40°, 120° and 80°
3. 60°, 200° and 100°
4. 40°, 200° and 120°

Q. There are six angles at a point. One of them is 40${}^{\circ }$ and the other five angles are all equal. Find the measure of equal angles.

1. 62°
2. 63°
3. 64°
4. 65°

Q.

Consider the figure:

If $\angle 1={60}^{\circ },\angle 2={70}^{\circ },and\angle x=\angle \frac{y}{2}$,
then find the value of $\angle y.$

1. ${96.66}^{\circ }$
   
2. ${66.66}^{\circ }$
   

3. ${86.66}^{\circ }$

4. ${76.66}^{\circ }$
   

Q.

Two interior angles of a pentagon is $45°$and each of the other angles are in the ratio $3:4:5$. Find the angles.

Q.

In the figure below, OP, OQ, OR and OS are four rays. Then, find $\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}$.

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${120}^{\circ }$
4. ${30}^{\circ }$

Q. Find the value of C.

1. 100${}^{\circ }$
2. 160${}^{\circ }$
3. 140${}^{\circ }$
4. 120${}^{\circ }$

Q.

Find the angle between the hands of the clock given below.

1. 30${}^{\circ }$
2. 40${}^{\circ }$
3. 20${}^{\circ }$
4. 15${}^{\circ }$

Q. Find the angle between the hour hand and the minute hand of a clock at 2 p.m.

1. 60${}^{\circ }$​

2. 30${}^{\circ }$​

3. 45${}^{\circ }$​

4. 90${}^{\circ }$​

Q.

A whole angle is equal to ___ right angles

1. 4

2. 2

3. 3

4. 1

Q. Find the measure of the angle between the hands of the clock in the following figure.

1. 20${}^{\circ }$
2. 15${}^{\circ }$
3. 35${}^{\circ }$
4. 30${}^{\circ }$

Q.

There is a circular track of length 400 m. If you are running around the circumference and at an angle of 270° from the centre, what is the length you have covered while running?

1. 600 m

2. 300 m

3. 200 m

4. 400 m