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Question

Which of the following angles cannot be constructed using a ruler and compass?

A
$$45^\circ$$
B
$$75^\circ$$
C
$$15^\circ$$
D
$$85^\circ$$
Solution
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Correct option is D. $$85^\circ$$
We know that using ruler and compass we can only draw angles which are multiples of 15 degree.
15,45,75 degree all are multiples of 15 and only 85 is not the multiple so we cannot draw it using ruler and compass.
Hence, option ( D ) is the correct answer.

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