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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
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B
False
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Solution

The correct option is B False

We know that,

42.5°=12×85°

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.


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