Q18. - Geometry

Question

Construct an angle having the indicated measure. 

$150$

Step-by-Step Solution

Answer

The figure is,

Step 1. Given information.

The given angle is $150°$.

Step 2. Follow the ways.

Consider the line segment $AB$ and choose a point $C$ on it.

$C\&B$ as centre with radius $BC$ draw two arcs.

 Intersecting point is $D$. 

$\angle DCB={60}^o$

$B\&D$as centre with radius$BC$ draw two arcs.

 Intersecting point is $E$. 

Here $EC$ is the bisector of $\angle BCD.$

$\angle BCE={30}^0$

Then

$\begin{array}{l}\angle ACE={150}^0\\ ={180}^0-\angle BCE.\end{array}$

Step 3. Construction.

The construction is shown below,

Therefore, the angle $150°$ is constructed.