Question

the four angle of quadilatreal are in ratio 3:5:7:9 find th largest angle ​

Answer 1

Let the four angles be 3x, 5x, 7x, 9x. By angle sum property

3x + 5x + 7x + 9x = 360°

24x = 360°

x = = 15°

Hence, the angles are 3 x 15° = 45°

5 x 15° = 75°

7 x 15° = 105°

9 x 15° = 135°

Answer 2

Given:-

• The four angles of a quadrilateral are in ratio 3:5:7:9.

To Find:-

• The largest angles .

Concept Used:-

We know that the sum of all angles of a quadrilateral is 180°. So we will let the common ratio be x . Then we will proceed further .

Answer:-

Let the common ratio be x .

So , the ratio can be written as 3x : 5x : 7x : 9 x .

So , sum of these =. 3x + 5x + 7x + 9x = 24x .

But the sum of all angles of a quadrilateral is 180° .

So , Atq ,

⇒ 24x = 360° .

⇒ x = 360°/24 .

⇒ x = 15° .

Here largest angle will be 9 x = 9 × 15° = 135° .