Question

Which is the incorrect step from the following options to construct a ${30}^{\circ }$ angle?

• A. Pick a point, draw a straight ray and then Draw an arc of any radius r intersecting the ray, centered at the starting point of the ray.
• B. Using the same radius, draw another arc intersecting the first arc, centred at the intersection point of the first arc with the ray. Draw a line through the starting point of the ray and intersection point of the two arcs.
• C. Draw an arc of any radius, intersecting both rays, centered at the starting point of the rays. Draw an arc of different radius, centred at the intersection point of the earlier arc with one ray.
• D. Draw another arc of the same radius, centered at the intersection point of the earlier arc with the other ray. Draw a line through the starting point of the rays and the intersection point of the two arcs.

Answer 1

The correct option is C Draw an arc of any radius, intersecting both rays, centered at the starting point of the rays. Draw an arc of different radius, centred at the intersection point of the earlier arc with one ray.

For constructing a ${30}^{\circ }$ angle:

1. Pick a point O, draw a straight ray and then Draw an arc of any radius r intersecting the ray, centered at the starting point of the ray O.



2. Using the same radius, draw another arc intersecting the first arc, centred at the intersection point of the first arc with the ray. Draw a line through the starting point O of the ray and intersection point of the two arcs.


3. Draw an arc of any radius, intersecting both rays, centered at the starting point O of the rays. Draw an arc of the same radius, centred at the intersection point of the earlier arc with one ray.



4. Draw another arc of the same radius, centered at the intersection point of the earlier arc with the other ray. Draw a line OX through the starting point O of the rays and the intersection point of the two arcs.


$\therefore {30}^{\circ }$ angle is obtained through OX.