Question

Two angles are in ratio 4:5 .if the sum of these angles equal to the third angle find the angles of the triangle

Answer 1

Answer:

40degree,50degree,90degree

Step-by-step explanation:

4x+5x=180-(4x+5x). -> let the angles be 4x and 5x

9x=180-9x

18x=180degree

x=10degree

Substituting value of x

40degree

50degree

90degree

It is a right angled triangle

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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°