What is the correct sequence for the following options of steps to construct a $60^{\circ}$ angle.

A. Draw an arc of any radius r intersecting the ray, centered at the starting point of the ray.

B. Pick a point and draw a straight ray.

C. Using the same radius, draw another arc intersecting the first arc, centered at the intersection point of the first arc with the ray.

D. Draw a line through the starting point of the ray and intersection point of the two arcs.

A, B, C, D

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A, C, D, B

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B, D, C, A

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B, A, C, D

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Solution

The correct option is D B, A, C, D
For constructing a $60^{\circ}$ angle:

1. Firstly pick a point and draw a straight ray.

2. Draw an arc of any radius r intersecting the ray, centered at the starting point of the ray.

3. Using the same radius, draw another arc intersecting the first arc, centred at the intersection point of the first arc with the ray.

4. Draw a line through the starting point of the ray and intersection point of the two arcs.

$∴ 60^{\circ}$ angle is obtained.

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