Question

The angles of a cyclic quadrilateral are in ratio 3:7:9:11. Find the angles of the quadrilateral.​

Answer 1

The angles of the quadrilateral are 36° ,84° ,108° and 132°

Step-by-step explanation:

Given:

The angles of a cyclic quadrilateral are in ratio 3:7:9:11

To find: The angles of the quadrilateral.​

Formula used: The sum of angles of the quadrilateral is 360°

Solution

Let the common ratio between angles = x

The given ratio of the angles are 3:7:9:11

Let us assume the angles be 3x, 7x ,9x and 11x

We know that,

The sum of angles of the quadrilateral is 360°

3x + 7x+9x+11x = 360°

30x = 360°

x =360 / 30

x =12°

So calculate the angles,

3x = 3(12)

= 36°

7x = 7(12)

= 84°

9x = 9(12)

= 108°

11x = 11(12)

=132°

Therefore angles be 3x, 7x ,9x and 11x are  36° ,84° ,108° and 132°

Final answer:

Therefore the angles of the quadrilateral are 36° ,84° ,108° and 132°

#SPJ3

Answer 2

Answer:

Angles of cyclic quadrilateral are 36°, 84°, 108°, 132°

Step-by-step explanation:

The angles of a cyclic quadrilateral are in ratio 3:7:9:11 (Given )

Sum of all Angles of Quadrilateral = 360°

let angles = 3x, 7x, 9x, 11x

Sum of all Angles of Quadrilateral = 3x + 7x + 9x + 11x = 30x

30x = 360°

x =  360°/ 30

x = 12°

putting x = 12°

so the angles are 36°, 84°, 108°, 132°

Angles of cyclic quadrilateral = 36°, 84°, 108°, 132°

#SPJ3