Question

The three angles of a quadrilateral are in ratio 2 : 3 : 5 and there sum is 250 find all the angles

Answer 1

Answer:

Let the required quadrilateral be quad ABCD.

:. A : B : C = 2 : 3 : 5

Let the common multiple be x.

:. A = 2x , B = 3x , C = 5x

We know that,

angle A + angle B + angle C = 250° - given

2x + 3x + 5x = 250°

10x = 250°

x = 25°

Substitute x = 25° in all angles.

A = 2x = 2 × 25

:. A = 50°

B = 3x = 3 × 25

:. B = 75°

C = 5x = 5 × 25

:. C = 125°

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