Question

The angles of a triangle are in the ratio 3 : 5: 9 : 13. Find the greatest angle of the quadilateral

Answer 1

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Answer 2

Answer:

GIVEN :

The angles are in the ratio 3:5:9:13

Let angle A be 3x

Let angle B be 5x

Let angle C be 9x

Let angle D be 13x

TO FIND :

all the angles

SOLUTION :

3x + 5x + 9x + 13x = 360°

=> 30x = 360°

=> x = 360/30

=> x = 12°

________________________

The value of x is 12°

• 1st angle be 3×12 = 36°

• 2nd angle be 5×12 = 60°

• 3rd angle be 9×12 = 108°

• 4th angle be 13×12 = 156°

Therefore, the greatest angle is fourth one i.e 156°.