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State true or false. An angle of 52.5^(@...

State true or false.
An angle of `52.5^(@)` can be constructed by compass

A

true

B

false

C

may or may not be

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

To construct an angle of `52.5^(@)` firstly construct an angle of `90^(@)` , then construct an angle of `120^(@)` and then plot an angle bisector of `120^(@) and 90^(@)` to get an angle `105^(@) (90^(@)+15^(@))` Now, bisect this angle to get an angle of `52.5^(@)` .
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