Question

Is the following statement true and false :

An exterior angle of a triangle is less than either of its interior opposite angles.

पर्याय

• Ture

• False

Answer 1

 An exterior angle of a triangle is less than either of its interior opposite angles

According to the exterior angle property, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

In ΔABC

Let x be the exterior angle

So,

x = ∠CAB +∠CBA

Now, if x is less than either of its interior opposite angles

x < ∠CAB +∠CBA