Question

In the previous video, a ray was drawn at an acute angle to the line segment. At which of the following angles can the ray not be drawn so as to divide the line segment in a certain ratio?

• A. $0^{\circ }$
• B. ${90}^{\circ }$
• C. ${180}^{\circ }$
• D. ${136}^{\circ }$

Answer 1

Answer: (A), (C)

The correct options are
A $0^{\circ }$
C ${180}^{\circ }$



The ray PM can be drawn at any angle to the line segment PQ other than angles $0^{\circ }$ and ${180}^{\circ }$.
If the ray PM is drawn at an obtuse angle to PQ, $\angle P{P}_4{Q}^{\prime }$ and $\angle P{P}_{5}Q$ become very small and makes the construction difficult. So we generally draw the ray at an acute angle.
When the ray is drawn at angles $0^{\circ }$ and ${180}^{\circ }$ to PQ, there is no triangle formed with the points on ray PM and segment PQ. So while dividing a segment in a given ratio, we can not draw the ray at angles $0^{\circ }$ and ${180}^{\circ }$.