Question

The angles of a quadrilateral are in the ratio 4:6:8:12.Find all the angles of the quadrilateral ​

Answer 1

Answer:

let all angles be x

ATQ,

=) 4x + 6x + 8x + 12x = 360° (angle sum property of quadrilateral)

=) 30x = 360°

=) x = 360°/30

=) x = 12°

4x = 4×12 = 48°

6x = 6×12 = 72°

8x = 8×12 = 96°

12x = 12×12 = 144

Step-by-step explanation:

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Answer 2

Let the angles be 4x, 6x, 8x and 12x respectively

Sum of all angles of a quadrilateral= 360°

= 360°= 4x+6x+8x+12x

= 360°= 30x

= 30x = 360°

= X = 360÷30

= X = 12°

= 4x = (12×4)°

= 6x = (12×6)°

= 8x = (12×8)°

= 12x = (12+×12)°

Ans. = 48°, 72°, 96° and 144°

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