R d sharma solutions mathematics class 9 Solutions for Chapter 9 triangle and its angles

Exercises in Chapter 9 triangle and its angles Grade 9

Triangle And Its Angles Exercise 9.1

Triangle And Its Angles Exercise 9.2

Questions in Triangle And Its Angles Exercise 9.1

If the angles of a triangle are in the ratio 1:2:3, determine threeangles.

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10^, find the three angles.

Two angles of a triangle are equal and the third angle is greater than each of those angles by 30^. Determine all the angles of the triangle.

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right angle triangle.

Questions in Triangle And Its Angles Exercise 9.2

The exterior angles, obtained on producing the base of a triangle both ways are $104^{^0}$ and $136^0$ . Find all the angles of the triangle.

In a △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 $180^0$

In figure, the sides BC, CA and AB of a △ABC have been produced to D, E and F respectively. If ∠ACD = $105^0$ and ∠EAF = $45^0$ find all the angles of the △ABC.