Question

the angles of a quadrilateral are in the ratio 3:4:5:6.find all the angles
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Answer 1

Step-by-step explanation:

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

18x=360

x=20

60

80

100

120

Answer 2

Step-by-step explanation:

The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13.

Let ∠A+ ∠B : ∠C : ∠D = 3 : 5 : 9 : 13.

Sum of ratio = 3x + 5x + 9x + 13x = 30x

Sum of 4 angles of quadrilateral is 360°

∴ ∠A + ∠B + ∠C + ∠D = 360°

3x + 5x + 9x + 13x = 360

30x = 360 ∴ x = = 12°

∠A = 3x = 3 × 12 = 36°

∠B = 5x = 5 × 12 = 60°

∠C = 9x = 9 × 12 = 108°

∠D = 13x = 13 × 12 = 156°

Hope it helps you mate..

Happy Mahashivratri!