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  • Write True or False. Give reasons for your answer: An angle of 52.5° can be constructed.

Write True or False. Give reasons for your answer:

            An angle of 52.5^{\circ} can be constructed.

Answers (1)

Answer

            True

Solution

            We know that it is possible to construct both 15^{\circ} and 90^{\circ} with the help of ruler and compass.

            An angle of 52.5^{\circ} can be constructed by bisecting angle 105^{\circ}

         52.5^{\circ}=\frac{1}{2}\times 105^{\circ}

            and 105^{\circ} can constructed by bisector of 120^{\circ} and 90^{\circ}.

            Hence the given statement is true. 

 

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infoexpert21

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