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Construction of angles

Follow the fo...

Question

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)?

A

45

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B

60

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C

75

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D

90

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Solution

The correct option is B
60

Upon following the above steps, we obtain an angle of 60 $^{\circ}$
Hence, $∠ A O B = 60^{\circ}$

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Similar questions

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)?

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)?

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $∠ A O E$ ?

Q. Which of the following step(s) is/are incorrect while constructing an angle of

120^{o}

1

: Draw a ray AB.
Step-

2

: With A as centre, draw an arc of any convenient radius which cuts AB at C.
Step-

3

: With C as centre and same radius, draw an arc which cuts the arc drawn in Step-

2

at point D.
Step-

4

: With D as centre and same radius, draw an arc which cuts the arc drawn in Step-

3

at point E.
Step-

5

: Join AE and produce it to point F. We get

∠

FAB whose measure is

120^{o}

.

Q. Steps for the construction of

∠ A O B = 120^{\circ}

is given below. Choose the correct order.
1.With Q as the centre and with same radius as in step- 3, draw an arc so as to cut the arc drawn in step - 2. Name the point of intersection as R.
2.With P as the centre, draw an arc with the same radius as in step-2 intersecting the previous arc. Name the point of intersection as R.
3.Draw a ray OB
4.Join points O and R using a scale and a pencil. Extend it to get ray OA
5.With O as the centre, draw an arc with suitable radius that cuts OB. Name the point of intersection as P

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