Question

An angle of $42.5°$ can be constructed. Write True or False in each of the following. Give reasons for your answer.

• A. True
• B. False

Answer 1

The correct option is B False

We know that,

$42.5°=\frac{1}{2}\times 85°$

Since, an angle of $85°$ cannot be constructed with the help of a ruler and compass because it is only possible to construct an angle that is a multiple of $3$ such as $30°$, $60°$ and $90°$ and so on.

Therefore, an angle of $42.5°$ cannot be constructed.

Hence, the statement is false.