Question

Arrange the following steps to construct a 45° angle in the correct order.

a. Make an angle bisector between 0° and 60° mark to get a 30° angle.
b. Join the 45° mark to the point O to get a 45° angle.
c. Make an angle bisector between the 30° and 60° mark to get a 45° angle.
d. Mark the 60° angle from where the arc cuts OA.
e. Draw a ray OA and make an arc cutting OA with O as its center.

• A. e, d, b, c, a
• B. e, d, a, c, b
• C. d, c, b, a, e
• D. a, c, b, e, d

Answer 1

The correct option is B e, d, a, c, b

In order to construct an angle of 45°, first we will need to make a ray and cut an arc from its fixed point to mark a 60° angle, so the first 2 steps will be (e) and (d).
After this, we need to create a bisector to make a 30° angle, and then bisect the 60° and 30° angles to get 45°, so the next steps will be (a) and (c).
Finally, after getting the 45° point, we will connect it with our initial fixed point, which is step (b).