Question

Example 3:
The angles of a quadrilateral are in the ratio 3 : 4:5:6. Find all its angles​

Answer 1

Answer:

Step-by-step explanation:

let the common ratio of angles be x

so angles are 3x, 4x, 5x, 6x

The sum of all angles of a quadrilateral is 360

3x+4x+5x+6x=360

18x=360

x=360/18

x=20

so angles are

3x=3×20=60

4x=4×20=80

5x=5×20=100

6x=6×20=120

so all the angles are 60, 80, 100, 120

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Answer 2

Answer:

let the angles be

a = 3x, b= 4x, c =5x, d = 6x

a+b+c+d = 360°

3x+4x+5x+6x = 360°

18x = 360°

x = 360/18

x = 20

a =3x = 3 * 20 = 60°

b =4x = 3 * 20 = 80°

c =5x = 5 * 20 = 100°

d =6x = 6 * 20 = 120