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Question

Can a triangle have one obtuse and one right angle?

A
Yes
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B
No
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C
Sometimes
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D
None of these
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Solution

The correct option is A No
Sum of three interior angle of a triangle is 180o.

One obtuse and one right angle by definition mean that there would be one 90o angle and other will be more than 90o.

Let obtuse angle will be 91o. So, 90o+91o=181o. That is already too much for a triangle, even before the third angle has been considered.

A triangle can never have one obtuse and one right angle.

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