Which is true? 1. A triangle can have two right angles. 2. A triangle can have two obtuse angles. 3. A triangle can have two acute angles. 4. An exterior angle of a triangle is less than either of the interior opposite angles.

Which is true? 1. A triangle can have two right angles. 2. A tria…

Question

Which is true?

A triangle can have two right angles.
A triangle can have two obtuse angles.
A triangle can have two acute angles.
An exterior angle of a triangle is less than either of the interior opposite angles.

✓

Solution:

We know that, by the angle sum property,

the sum of all the angles of a triangle is 180° ...(i)

So, if two angles are right angles, then their sum is 180°.

So, the measure of the third angle is zero, which is not possible.

Thus, (a) is not true.

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