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Construction of an Angle of 60 Degrees.

To construct ...

Question

To construct an angle of $60^{\circ}$ with a compass and ruler,

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

A

Taking D as center and any radius, draw an arc intersecting the previous arc at E

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B

Using protractor, draw an angle

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C

Taking D as center and same radius, draw an arc intersecting the previous arc at E

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D

Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

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Solution

The correct option is D Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.
In the construction of $60^{\circ}$ , the first step is to construct a ray AB and the second step is taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

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Similar questions

To construct an angle of $60^{\circ}$ using a compass.

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

Step 3: With A as the centre and same radius draw an arc intersecting the previous arc at E.

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.

Q. The steps involved in constructing

∠ A B C = 60^{\circ}

is given below. Which of the following is the correct sequence of the steps?

Q. Arrange the order of the steps to construct the tangent to a circle without using the centre of the circle.
Steps of Construction :
1) Draw chord CB and an inscribed ∠CAB .
2) Draw a circle of a suitable radius. Take any point C on it
3) Using the same radius and centre C, draw an arc intersecting the chord CB at point R.
4) With the centre A and any convenient radius draw an arc intersecting the sides of ∠BAC in points M and N.
5) Taking the radius equal to d(MN) and centre R, draw an arc intersecting the arc drawn in the previous step. Let D be the point of intersection of these arcs. Draw line CD. Line CD is the required tangent to the circle.

Q. A few construction steps are given below. Using the given information, find the value of

∠ D M B

.

Step 1: Draw a line segment AB.
Step 2: With A as the center and radius more than half of AB on the compass, draw arcs above and below AB.
Step 3: With B as the center and the same radius on the compass, draw arcs above and below AB intersecting the previous arc at points C and D.
Step 4: Join C and D intersecting AB at M.

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