Constructing Angles of Special Measures

Q. Which of the following angles can be constructed with the help of simply a ruler and a pair of compass?

1. ${42.5}^{\circ }$
2. ${40}^{\circ }$
3. ${67.5}^{\circ }$
4. ${55}^{\circ }$

Q. How many arcs are drawn while constructing ${30}^{\circ }$ angle using a compass

1. 3
2. 4
3. 2
4. 6

Q. Using two set-squares of the geometry box, which of the following angles can be drawn.

1. ${45}^{\circ }$
2. ${30}^{\circ }$
3. ${15}^{\circ }$
4. ${10}^{\circ }$

Q.

Which instruments can be used to draw an angle of ${60}^0$ ?

1. Compass

2. Protractor

3. Both compass and protractor

4. None of these

Q. Special measure angle(s) among the following is/are ?

1. 120${}^{\circ }$
2. 65${}^{\circ }$
3. 60${}^{\circ }$
4. 25${}^{\circ }$

Q. The minimum angle that can be drawn using two types of set squares is $x^{\circ }$, then find $\frac{x}{3}$.

1. 5

Q. angle cannot be constructed using compass and ruler.

1. ${90}^{\circ }$
2. ${45}^{\circ }$
3. ${15}^{\circ }$
4. ${20}^{\circ }$

Q. Which of the following is the unit of angle?

1. Degree
2. Litre
3. Centimetre
4. None of these

Q.

Using which of the following, is it not possible to construct a ${60}^{\circ }$ angle?

1. Set Square (30º-60º-90º)

2. Set Square (45º-45º-90º)

3. Protractor, Ruler

4. Compass, Ruler

Q. What angle do we get when we bisect an angle of ${60}^{\circ }$?

1. ${30}^{\circ }$
2. ${45}^{\circ }$
3. ${90}^{\circ }$
4. ${120}^{\circ }$

Q. Special measure angles are constructed using ______

1. set square
2. compass
3. protractor
4. divider

Q.

In the construction of a right angle, what is the first basic angle that would be obtained? (in degrees)

1. ${90}^{\circ }$

2. ${270}^{\circ }$

3. ${180}^{\circ }$

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

Q. Instrument used to measure or construct angle is

1. protractor
2. set square
3. compass
4. scale

Q.

Which among the following angles cannot be constructed just by using a ruler and a compass?

1. 30 degrees

2. 70 degrees

3. 90 degrees

4. 60 degrees

Q.

Draw a line AB. At A, draw an arc of length $3cm$ using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure $\angle QAB$. What is the measure of $\angle QAB$ ?

1. ${45}^{\circ }$

2. ${60}^{\circ }$

3. ${75}^{\circ }$

4. ${120}^{\circ }$

Q.

Draw a line AB. At A, draw an arc of length $3cm$ using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure $\angle QAB$. What is the value of $\angle QAB$.

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

2. ${30}^{\circ }$

3. ${120}^{\circ }$

4. ${90}^{\circ }$

Q.

With a ruler and compass, which of the following angles cannot be constructed?

1. ${80}^{\circ }$

2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${105}^{\circ }$

Q.

For constructing a right angle without a protractor, which of the following method/s is/are used?

1. Angle Bisector

2. ${60}^{\circ }$ angle construction

3. Median

4. Construction of triangle

Q.

Follow the following steps of constructions:
(a) Draw a line l and mention a point O on it.
(b) With O as center and a short radius, draw an arc that cuts line l at A.
(c) With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B.
(d) Join O and B. Extend OB to get a ray.
What is the measure of ∠AOB (in degrees)?

1. 45

2. 60

3. 75

4. 90

Q. Write True or False in each of the following . Give reason for your answer:
An angle of ${42.5}^{\circ }$ can be constructed .

1. True
2. False