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Question

Given two angles A=x,B=y and AB;(A+B<90), how many triangles can be constructed?


A

One

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B

Two

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C

Three

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D

None of these

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Solution

The correct option is A

One


Draw AB, at point A draw a ray making angle x with AB, and at point B draw a ray making y with BA, such that the two rays intersect at a point forming a triangle. Therefore only one triangle can be formed with the given data.


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