Question

# Arjun has a geometry box. Out of several equipment that are there, there are 2 set squares. He was thinking about the angles that could be constructed using those 2 set squares. He took 4 examples to work on which are given in the options below. Which of the following is impossible to draw using the given set squares?

A
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B
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C
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D
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Solution

## The correct option is A We can make 30∘, 60∘ and 105∘ angles by the methods as shown in the figure above. But 95° angle can’t be constructed using the 2 set squares. This is because we can break 95∘ as (45∘+50∘),(30∘+65∘),(60∘+35∘),(90∘+15∘) or (75∘+20∘). In all the cases, we can construct one of the pair of angles. We can’t construct both.

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