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Question
Is the following statement true and false :
A triangle can have two right angles.
Options
True
False
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Solution
A triangle can have two right angles.
According to the angle sum property of the triangle
In ΔABC
∠A + ∠B + ∠C = 180°
Now, if there are two right angles in a triangle
Let ∠B = ∠C = 90°
Then,
∠A + 90° + 90° = 180°
∠A + 180° = 180°
∠A = 180° - 180°
∠A = 0°
(This is not possible.)
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