The exterior angle of a triangle is greater than both the interior opposite angles.

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

Interior opposite angles are same as the angles non-adjacent to the exterior angle. Since the measure of an exterior angle equals the sum of its two non-adjacent interior angles, the exterior angle is also greater than either of the individual non-adjacent interior angles.

Suggest Corrections

Similar questions

Fill up the blanks to make the following statements true:

(a) Sum of the angles of triangle is ___________.

(b) An exterior angle of a triangle is equal to the sum of ___________ opposite angles.

(d) A triangle cannot have more than ___________ right angle.

(e) A triangle cannot have more than ___________ obtuse angle.

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

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

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

The exterior angle of a triangle is equal to the sum of non-adjacent interior angles. Say true or false.

The exterior angle of a triangle is equal to the sum of all the interior angles of the triangle. State whether true or false.

Join BYJU'S Learning Program