Question

With the help of a ruler and a compass it is not possible to construct an angle of ______.

विकल्प

• 37.5°

• 40°

• 22.5°

• 67.5°

Answer 1

With the help of a ruler and a compass it is not possible to construct an angle of 40°.

Explanation:

Considering option (A):

`37.5^circ = 1/2 xx 75^circ`

75° can be constructed with the help of a ruler and a compass.

Considering option (B):

`40^circ = 1/2 xx 20^circ`

This is not possible.

20° cannot be constructed with the help of a ruler and a compass.

Considering option (C):

`22.5^circ = 1/2 xx 45^circ`

45° can be constructed with the help of a ruler and a compass.

Considering option (D):

`67.5^circ = 1/2 xx 135^circ`

= `1/2 xx (90^circ + 45^circ)`

Both 90° and 45° can be constructed with the help of a ruler and a compass.

Hence, option (B), is not possible to construct an angle of 40° with the help of ruler and compass is the correct answer.