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Question

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

A
30°
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B
40°
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C
45°
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D
60°
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Solution

The correct option is B 40°
Constructing any angle with compass and ruler can be possible only if it is divisible by 15.
Therefore, among the four given options, 30°, 45°, 60° are multiples of 15 and can be drawn with help of compass and ruler.
40° is the angle which cannot be constructed using compass and ruler.

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