English Medium कक्षा ९ - CBSE Question Bank Solutions

Is the following statement true and false : 

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

Fill in the blank to make the following statement true:

Sum of the angles of a triangle is ....

Fill in the blank to make the following statement true:

An exterior angle of a triangle is equal to the two ....... opposite angles.

Fill in the blank to make the following statement true:

An exterior angle of a triangle is always ......... than either of the interior opposite angles.

Fill in the blank to make the following statement true:

A triangle cannot have more than ...... right angles.

Fill in the blank to make the following statement true:

 A triangles cannot have more than ......obtuse angles.

In a Δ ABC, the internal bisectors of ∠B and ∠C meet at P and the external bisectors of ∠B and ∠C meet at Q, Prove that ∠BPC + ∠BQC = 180°.

In the given figure, compute the value of x.

In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.

In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B = 65° and ∠C = 33°, find ∠MAN.

In the given figure, AE bisects ∠CAD and ∠B= ∠C. Prove that AE || BC.

In Δ ABC, if u∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.

State exterior angle theorem.

The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.

In the given figure, if AB || CD, EF || BC, ∠BAC = 65° and ∠DHF = 35°, find ∠AGH.

In ΔABC, if bisectors of ∠ABC and ∠ACB intersect at O at angle of 120°, then find the measure of ∠A.

If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A.