Question

the angles of the quadrilateral are in ratio 5:4:3:6. Find the measure of all angles.

Answer 1

Answer:

100° , 80° , 60° , 120°

Step-by-step explanation:

Let all angles be 5x , 4x , 3x , 6x

Angle sum Property of Quadrilateral = 360°

∴ 5x + 4x + 3x + 6x = 360°

18x = 360°

x = 360/18

x = 20°

∴ 5x = 100°

4x = 80°

3x = 60°

6x = 120°

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Answer 2

Answer:

Step-by-step explanation:

Let the angles be 5x, 4x, 3x, 6x

Sum of all sides of a quadrilateral= 360

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

18x= 360

x = 360/18

x= 20

5x = 5x20 = 100

4x = 4x20 = 80

3x = 3x20 = 60

6x = 6x20 = 120

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