Question

The measure of the angle
of a quadrilateral is in the
ratio 3:4:5:6. find the
measure of each of its angle?​

Answer 1

let 1st angle = 3x

2nd angle = 4x

3rd angle = 5x

4th angle = 6x

Sum of all angles of a quadrilateral = 360°

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

18x = 360

x = 360/18

x = 20

Now put the values

1st angle = 3x = 3×20 = 60

2nd angle = 4x = 4×20 = 80

3rd angle = 5x = 5×20 = 100

4th angle = 6x = 6×20 = 120

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Answer 2

Answer:

60⁰

80⁰

100⁰

120⁰

Step-by-step explanation:

let the angle be x

3x, 4x, 5x, 6x

total sum of angle = 360

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

18x = 360

x = 360/18

x = 20

angles are

3x = 3*20 = 60⁰

4x = 4*20 = 80⁰

5x = 5*20 = 100⁰

6x = 6*20 = 120⁰

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