Construction of 30, 60, 90 and 120 Degree Angles

Q.

Question 1

Draw $\angle POQ$ of measure ${75}^{\circ }$ and find its line of symmetry.

Q.

How to construct an angle of $175$ degree.

Q.

Draw a line $m$ and mark any point $A$ outside it. Through this point, construct a line perpendicular to $m$ by using a ruler and compass.

Q. Number of arcs drawn in the construction of 120 degree angle are _______.

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

Q.

Construct an angle of 105 degree.

Q.

What is the shape of a protractor?

1. Circular

2. Triangle

3. Semi circular

4. Square

Q.

Question 5 (b)

Construct with ruler and compasses, angles of following measures:
${30}^{\circ }$

Q.

Construct ${60}^{\circ }$, ${45}^{\circ }$ and ${30}^{\circ }$ with ruler and compass. [3 MARKS]

Q.

Draw an angle ${135}^{\circ }$ and divide it into four parts. [4 MARKS]

Q.

Draw an angle ${150}^o$and draw its axis of symmetry.

Q. Number of arcs drawn in the construction of 90 degree angle using ruler and compass are _______

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

Q.

Draw $\angle POQ$ of measure $75°$ and find its line of symmetry.

Q.

Question 5 (f)

Construct with ruler and compasses, angles of following measures:
${135}^{\circ }$

Q.

Question 5 (e)

Construct with ruler and compasses, angles of following measures:
${45}^{\circ }$

Q.

Question 5 (a)

Construct with ruler and compasses, angles of following measures:
${60}^{\circ }$

Q.

If $\angle APB={60}^{\circ }$ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn.

What will be the value of $\angle BPY$?

1. ${30}^{\circ }$

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

3. ${90}^{\circ }$

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

Q.

Question 5 (c)

Construct with ruler and compasses, angles of following measures:
${90}^{\circ }$

Q.

Manas a student of class VI^th has to draw an angle of measure 48⁰.Which of the following steps should be 2^nd step of construction

1. Join AC and angle BAC is the required angle

2. Draw a line segment AB

3. Start with 00 near the point B and mark point C at 480

4. Place the centre of the protractor at A and zero edge along the line AB

Q.

Draw a line AB. At A, draw an arc of length $3cm$ using a 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. Join A and P. Using the protractor, measure $\angle PAB$. What is the value of $\angle PAB$?

1. 45º

2. 30º

3. 75º

4. 60º

Q.

Draw an angle ofmeasure 135° and bisect it.

Q.

Draw an angle of measure 45° and bisect it.

Q. Draw an angle of 90° using a compass.

Q. Draw figures with label according to the information given below.
(a) $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ intersect at O.
(b) Line m contains X and Y but not A.
(c) $\overleftrightarrow{TP}$ and $\overleftrightarrow{TS}$ meet at T.
[3 MARKS]

Q. Construct angles of following measures using ruler and compasses.
${90}^o$

Q. You are asked to "construct" an angle whose measure is ${30}^{\circ }$. Which of the following methods would be considered as an acceptable construction?

1. Using a compass and straightedge, construct two parallel lines and label one of the angles ${30}^{\circ }$.
2. Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles.
3. None of these
4. Using a compass and straightedge, copy an angle that appears to be close to ${30}^{\circ }$ from a diagram in your textbook.

Q.

Draw an angle of measure 147° and construct its bisector.

Q.

During construction of ${60}^{\circ }$ angle using a compass, 3 arcs need to be drawn.

1. True

2. False

Q. Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.

Q.

In the construct an angle of ${60}^{\circ }$ given below.

Steps of construction are:
Step1: Draw a ray AB
Step 2 will be

1. Taking D as center and same radius, draw an arc intersecting the previous arc at E
2. Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.
3. Using protractor, draw an angle
4. Taking D as center and any radius, draw an arc intersecting the previous arc at E

Q. Measure ∠ABC given in the adjoining figure and construct an angle DEF equal to ∠ABC.