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 a triangle is always greater than the opposite interior angles
D. all the angles of a triangle are less than 60°

Answer 1

Answer:

(C)an exterior angle of a triangle is always greater than the opposite interior angles

Answer 2

Answer:

an exterior angle of a triangle is always greater than the opposite interior angles

Step-by-step explanation:

A - a triangle can not have two right angles

as Triangle has three angles whose sum = 180°

if there are two right angles then third angle will be zero

90° + 90° + 0° = 180°  which is not possible

B - all the angles of a triangle can not be  more than 60°

=> if all angles are more than 60° then sum will be greater than 180°

which is not possible

C - an exterior angle of a triangle is always greater than the opposite interior angles

Exterior angle = Sum of opposite interior angles

=> Exterior Angle > opposite interior angles

Hence this is correct Statement

D. all the angles of a triangle can not be  less than 60°

=> if all angles are less than 60° then sum will be less than 180°

which is not possible