Question

The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Find the angles of the quadrilateral.​

Answer 1

Answer:

45⁰, 75⁰, 105⁰ , 135⁰

Step-by-step explanation:

3x + 5x + 7x + 9x = 360

24x = 360

x = 360 ÷ 24 = 15

1st angle = 3x = 3 × 15 = 45

2nd angle = 5x = 5 × 15 = 75

3rd angle = 7x = 7 × 15 = 105

4th angle = 9x = 9 × 15 = 135

Answer 2

Answer:

45°, 75°, 105° and 135°

Step-by-step explanation:

Let the angles of the given quadrilateral be (3x)°, (5x)°, (7x)° and (9x)° respectively.

We know that sum of the angles of a quadrilateral is 360°.

So, 3x+5x+7x+9x = 360

=> 24x = 360

=> x = 360/24

=> x = 15

Hence, the angles of the quadrilateral are:

(3x)° = (3×15)° = 45° ,

(5x)° = (5×15)° = 75° ,

(7x)° = (7×15)° = 105° , and

(9x)° = (9×15)° = 135°.

Hope, it may be helpful.