Question

(i) The angles of a quadrilateral are in the ratio 2:5:7:10. Find the four anges​.......
from quadilaterals

Answer 1

Here , the angles of a quadrilateral are in the ratio 2 : 5 : 7 : 10 .

To find -

Find all the four angles .

Solution -

The angles of a quadrilateral are in the ratio 2 : 5 : 7 : 10 .

Let the angles be 2x , 5x, 7x and 10x respectively .

Now , as the figure is a quadrilateral, all the angles add upto 360°.

So , we can formulate the following equation -

> 2x + 5x + 7x + 10x = 360°

> 24x = 360°

> x = 12°

Angle A = 2x = 2 × 12° = 24°

Angle B = 5x = 5 × 12° = 60°

Angle C = 7x = 7 × 12° = 84°

Angle D = 10x = 10 × 12° = 120°

Answer -

The required angles of the quadrilateral are 24°, 60° , 84° and 120° respectively .

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