Question

18. The angles of a quadrilateral are in the ratio of 2:3, 4:6. Find its angles.​

Answer 1

Answer:

48∘, 72∘, 96°, 144 ∘

Step-by-step explanation:

Sum of all the angles of a quadrilateral =360

now, 2x+3x+4x+6x=360 then solve for x

Answer 2

Let the 1st angle be 2x

2nd angle be 3x

3rd angle be 4x

4th angle be 6x

Sum of all angle of quadrilateral= 360

2x+3x+ 4x+6x = 360

15x = 360

x = 360

15

x= 24

1st angle = 2x = 2× 24 = 48

2nd angle = 3x = 3× 24 = 72

3rd angle = 4x = 4×24 = 96

4th angle = 6x = 6× 24 = 144

Hence 4 angle is 48,72,96,144

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