MCQ
With the help of a ruler and a compass it is not possible to construct an angle of.
- A$37.5^\circ$
- ✓$40^\circ$
- C$22.5^\circ$
- D$67.5^\circ$
✓
Answer
Correct option: B.
$40^\circ$
$\rightarrow $$37.5^\circ$ can be constructed by bisecting $150^\circ$ twice which can be done by compass.
$\rightarrow $$\angle $$22.5^\circ$ is the bisector of $90^\circ$ which can be also constructed using compass.
$\rightarrow $$\angle $$67.5^\circ$ is the bisector of $135^\circ$ whcih can also be drawn using compass.
But $40^\circ$ can not be drawn using ruler and compass.
So option $B$ is correct.
$\rightarrow $$\angle $$22.5^\circ$ is the bisector of $90^\circ$ which can be also constructed using compass.
$\rightarrow $$\angle $$67.5^\circ$ is the bisector of $135^\circ$ whcih can also be drawn using compass.
But $40^\circ$ can not be drawn using ruler and compass.
So option $B$ is correct.
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