Question

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

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

Answer 1

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

To construct ${75}^{\circ }$,
we have to bisect the angle between ${90}^{\circ }$ angle and ${60}^{\circ }$ angle.
The resulting angle $=\frac{{90}^{\circ }+{60}^{\circ }}{2}={75}^{\circ }$