Study the steps of construction given.
Step 1: Draw a ray OA.
Step 2: With O as centre and any convenient radius draw an arc MN to cut OA at M.
Step 3: With M as centre and the same radius draw an arc to cut MN at P.
Step 4: With P as centre and the same radius, draw an arc to cut MN at Q.
Step 5: Draw OQ and produce it to D. An angle AOD is constructed.
What is the measure of ∠AOD?

120^{\circ}

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45^{\circ}

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60^{\circ}

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30^{\circ}

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Solution

The correct option is A $120^{\circ}$
The given steps of construction are to construct an angle of $120^{\circ}$ .

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Similar questions

Q. Steps for the construction of a 90° angle.

Choose the correct order.

1: Draw a ray OA.

2: With C and D as centres and radius more than half of CD, draw two arcs cutting each other at E. Join OE.

3: With O as centre and any convenient radius, draw an arc cutting OA at B.

4: With B as centre and the same radius, draw an cutting the first arc at C.

5: With C as centre and the same radius, draw an arc cutting again the first arc at D.

Steps for the construction of a 30° angle.

Choose the correct order.

1: Draw a ray OA.

2: With B as centre and the same radius as before, draw another arc to cut the previous arc at C.

3: Draw the bisector OE of ∠AOD.

4: Join OC and produce it to D.

5: With O as centre and any suitable radius draw an arc above OA cutting it at a point B.

Q. Fill in the blanks to complete the steps for construction of angle.
Steps for construction:
A. Draw a ray QP.
B. Draw an arc by taking as________centre with any convenient radius, which intersects QP at point N.
C. Taking_______as the centre and the same radius as before, draw another arc which intersects the previous arc at point M.
D. Draw QM and produce it to point R.

∠ PQR is an angle of measure.

The steps to construct $60^{\circ}$ angle is given below. Arrange these steps in the correct sequence.

1. Taking O as centre, draw an arc of any size to cut OA at B.

2. Draw a line segment OA of any suitable length.

3. Join OC and produce it to any point D.

4. With B as centre draw another arc of the same size to cut the previous arc at C.

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 $∠ A O E$ ?

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The correct option is A 120∘The given steps of construction are to construct an angle of 120∘.

The correct option is A $120^{\circ}$
The given steps of construction are to construct an angle of $120^{\circ}$ .