Question

A vagabond was traveling from one city to another city. In his journey, he made three right turns to his right. Comment on the angle he is currently subtending from his initial direction in the same sense of rotation as he made from the initial direction.

• A. ${90}^o$
• B. ${270}^o$
• C. It is a right angle.
• D. It is a reflex angle.

Answer 1

Answer: (B), (D)

It is a reflex angle.

The following figure depicts the direction of travel:We need to find angle between $AB$ and $DE$ in sense of rotation he made during the path.
He made a clockwise rotation.
Hence, he will be subtending ${270}^o$ from his initial direction in the clockwise direction.
Also, ${270}^o$ is a reflex angle.