Question

An angle of measure ${75}^{\circ }$ can be drawn by drawing:

• A. ${90}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.
• B. ${180}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.
• C. ${270}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.
• D. ${90}^{\circ }$ and ${30}^{\circ }$ and bisecting the angle between them.

Answer 1

The correct option is A ${90}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.

Construct ${60}^{\circ }$ and ${90}^{\circ }$.
Bisecting the angle between ${60}^{\circ }$ and ${90}^{\circ }$ will give ${75}^{\circ }$.