Question

Choose the correct statement:
(A) a triangle has two right angles
(B) all the angles of a triangle are more than 60°
(C) an exterior angle of triangle is always greater than the opposite interior angles
(D) all the angles of a triangle are less than 60°
(E)None of these​

Answer 1

Answer:

I think C is the correct answer.

Answer 2

$\large{\boxed{\green{Correct:\:(C)}}}$

(A) False

Reason - Sum of all sides of angle is 180° and a triangle can't have two right angle because only sum of two right angles, i.e., 90°, is only 180°, thatswhy a triangle can't have two right angles.

(B) False

Reason - If all angles had angles more than 60°, there sum will go above 180°. Thatswhy a triangle can't have all angles greater than 60°.

(C) $\large{\boxed{\underline{TRUE}}}$

(D) False

Reason - If all angles had angles less than 60°, there sum will go below 180°. Thatswhy a triangle can't have all angles less than 60°.

(E) False

Reason - Because C is true not all are false.