Question

Draw an angle of measure ${127}^o$ and construct its bisector.

Answer 1

Hint: To answer this question, we first need to understand the concept of using compass in order to get the bisector of any angle.

Complete step by step solution:
Firstly we need to draw the angle of ${127}^o$using a protractor i.e. let $\mathrm{\angle }CAB$is constructed ${127}^o$with A as the center point and C and B are the end point of the line segment.

Now we need to draw a bisector of $\mathrm{\angle }CAB$ in order to draw this we need to draw an arc taking A as the center which cuts the line segment AC and AB at X and Y respectively. Now taking X and Y as the center draw to arcs which intersect each other at point Z, now draw a line segment from point A to Z. Hence segment AZ represents the bisector of angle $\mathrm{\angle }CAB$ i.e. ${127}^o$.
So, the final answer is the figure drawn above.

Note: Always use the protector very consciously as it must be properly tight enough that it should not be deflected while using it so as not to produce any error.