Question

2. Angles of quadrilateral are in ratio 3: 5:7:9. Find the measure of each of the
angles.​

Answer 1

Answer:

The measure of each of these angles is 45,75,105 and 135. Step-by-step explanation: Given : The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9.

Answer 2

Answer:

Let the angle of quadrilateral be 3x , 5x , 7x and 9x respectively.

Total measure of quadrilateral = 360°

according to the question,

3x + 5x + 7x + 9x = 360°

or, 24x = 360°

or, x = 360°/ 24

x = 15

Hence, the 1st angle of quedrilateral = 3x = 45°

2nd angle of quadrilateral = 5x = 75°

3rd angle of quadrilateral = 7x = 105°

4th angle of quadrilateral = 9x = 135°