1 Marks Question

Question 11 Mark

Can you have a triangle with all the three angles less than $60^{\circ}$ ?

Answer

No, we cannot have a triangle with all the three angles less than $60^{\circ}$. In that case, the sum of all the angles of a triangle is less then $180^{\circ}$ which is not possible.

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Question 21 Mark

Can you have a triangle with all the three angles equal to $60^{\circ}$ ?

Answer

Yes, we can have a triangle with all the three angles equal to $60^{\circ}$, because the sum of three angles is $180^{\circ}$.

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Question 31 Mark

Can you have a triangle with all the three angles greater than $60^{\circ}$ ?

Answer

No, we cannot have a triangle with all the three angles greater than $60^{\circ}$. In that case, the sum of the three angles exceeds $180^{\circ}$ which is not possible.

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Question 41 Mark

Can you have a triangle with two acute angles?

Answer

Yes, we can have a triangle with two acute angles because in this way sum of these two acute angles with the third angle may satisfy the angle sum property.

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Question 51 Mark

Can you have a triangle with two obtuse angles?

Answer

No, we cannot have a triangle with two obtuse angles because an obtuse angle has its measure more than $90^{\circ}$. Therefore, the sum of two obtuse angles is greater than $180^{\circ}$ which is not possible.

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Question 61 Mark

Can the exterior angle of a triangle be a straight angle?

Answer

No, exterior angle of a triangle can never be a straight angle.

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Question 71 Mark

What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?

Answer

The sum of an exterior angle and its adjacent interior angle form a linear pair.
$\therefore$ Exterior angle + Adjacent interior angle $=180^{\circ}$

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Question 81 Mark