Question

For constructing an angle of measure 105${}^{\circ }$ using a compass, you need to construct a 60${}^{\circ }$ angle too.

• A.
• B.

Answer 1

The correct option is A

A 105${}^{\circ }$ angle can be constructed by drawing a bisector between 120${}^{\circ }$ angle arm and 90${}^{\circ }$ arm as shown in the figure below. But it can be seen clearly that for making 120${}^{\circ }$ angle, one needs to make a 60${}^{\circ }$ angle first. In the image given, $\angle$DAB will be 60${}^{\circ }$ .