Question

On your paper, draw two angles roughly like those shown. Then for Exercise $11-14$ construct an angle having the indicated measure. $\frac{3}{4}x$

Short answer

The figure is,

Step-by-step solution

Step 1. Given information.

The angle to draw is $\frac{3}{4}x$.

Angles $x$ and $y$ can be constructed as,

Step 2. Concept.

To draw the angle, $\frac{3}{4}x$ consider the following ways-

Draw a bisector of angle $x$ and get $\frac{1}{2}x$.

So, $OQ$ is the bisector of $\angle ROH$.

Draw a bisector of angle $\frac{1}{2}x$ and get$\frac{1}{4}x$.

So, $OP$ is the bisector of$\angle ROQ$.

Thus, $\angle POH=\frac{3}{4}x$.

Step 3. Draw the figure.

The required figure is drawn below,

Therefore, the required construction that depicts the angle measure $\frac{3}{4}x$.