Question

Two angle of a triangle are in the ratio 4 :5:9 if the sum of three angles is equal to the third angle, find all the angles of the triangle ​

Answer 1

Step-by-step explanation:

let the I side be 4 x

II 5X

III 9x

4x+ 5x +9x= 180

18 x = 180

x = 10

I =4×10= 40

II = 5× 10= 50

III =9 × 10=90

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Answer 2

Let the measure of two angles be 4x and 5x and the third one is ( 4x + 5x ).

We know that ;

Sum of angles of triangle = 180°

⇒ 4x + 5x + 4x + 5x = 180

⇒ 18x = 180

⇒ x = 180/18

⇒ x = 10

Therefore, the angles are ;

4x = 4 * 10 = 40°

5x = 5 * 10 = 50°

9x = 9 * 10 = 90°