Question

Two angles of a triangle are in the ration 4:5. If the sum of these angles is equal to the third angle, find the angles of the triangle.

Answer 1

Given :

• Two angles of a triangle are in the ratio 4:5.

• The sum of these angles is equal to the third angle.

To find :

• The angles of the triangle =?

Step-by-step explanation :

Let, two angles of a triangle are 4x and 5x be.

It is Given that :

The sum of these two angles is equal to the third angle,

= 4x + 5x = 9x.

•°• Third angle = 9x.

As We know that,

Sum of all angles of triangle = 180°

So,

∠A + ∠B + ∠C = 180°

Substituting the values, we get,

➮ 4x + 5x + 9x = 180°

➮ 18x = 180°

➮ x = 180°/18

➮ x = 10°

Therefore, We got the value of, x = 10°.

Hence,

∠A = 4x = 4 × 10° = 40°

∠B = 5x = 5 × 10° = 50°

∠C = 9x = 9 × 10° = 90°

Answer 2

GIVEN :

• Two angles of a triangle are in the ratio 4:5

• The sum of these angle is equals to the third angle .

TO FIND :

• The angle of triangle = ?

STEP - BY - STEP EXPLANATION :

→ Let us consider the angles of triangle as 4x and 5x.

=> 4x + 5x = 9x

=> Third angle of a triangle = 9x

=> Therefore, the sum of all the angles of triangle = 180°

=> angle 'A' + angle 'B' + angle 'C' = 180°

=> Now, here we get after substituting the value

→ 4x + 5x + 9x = 180°

→ 18x = 180°

→ X = 180°/18

→ X = 10°

HENCE, HERE THE ANGLE OF TRAINGLE ARE ---»

★ FOR ANGLE 'A' -------»

=> 4x = 4 × 10° = 40°

★ FOR ANGLE 'B' -------»

=> 5x = 5 × 10° = 50°

★ FOR ANGLE 'C' -------»

=> 9x = 9 × 10° = 90°