English Medium Class 9 - CBSE Question Bank Solutions

Is the following statement true and false :

A triangle can have two obtuse angles.

Is the following statement true and false :

A triangle can have at most one obtuse angles.

Is the following statement true and false :

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

Is the following statement true and false :

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

Is the following statement true and false :

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

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.