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Question

What is the maximum possible number of obtuse angles in a triangle? Justify your answer. [3 MARKS]

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Solution

Answer: 1 Mark
Reason: 2 Marks

In a triangle, only one obtuse angle can exist.

If we have more than one obtuse angle in a triangle, then the sum of two (obtuse) angles will exceed 180.

But sum 3 angles of a triangle is 180
.

A triangle can not have more than one obtuse angle.


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