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Standard VII

Mathematics

Construction of Special Angles without Using Protractor

Study the ste...

Question

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?

60^{\circ}

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30^{\circ}

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120^{\circ}

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45^{\circ}

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Solution

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

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Similar questions

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

120^{o}

?
Step-

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 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.

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 C 120∘The given steps of construction are to construct an angle of 120∘.

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