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Question

An angle of 52.5°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 A True

Understand that by using a ruler and compass one can construct 30°and 90° .

Know that every angle constructed with the help of a ruler and compass, angle bisector can be constructed.

Therefore,

52.5°=1290°+30°2=12(90°+15°)=12×105°=52.5°

Hence, the given statement is true.


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