1.

The angles of a quadrilateral are in the ratio 2: 4: 5: 7. Find the angles.

Answer»

Consider the angles of a quadrilateral as 2x, 4x, 5x and 7x

In a quadrilateral we know that the sum of all the angles is 360o

So we can write it as

2x + 4x + 5x + 7x = 360o

By addition

18x = 360o

By division

xo = 20o

Now by substituting the value of xo

2x = 2(20o) = 40o

4x = 4(20o) = 80o

5x = 5(20o) = 100o

7x = 7(20o) = 140o

Therefore, the angles are 40o, 80o, 100o and 140o.



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