Question

The angles of a quadrilateralare in the ratio 3:6:8:13.Find all the angles.​

Answer 1

Step-by-step explanation:

3a+6a+8a+13a=360

30a=360

a=12

So the angles are 36, 72, 96, 156

Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 3:6:8:13

Let ∠A = 3x  ∠B = 6x  ∠C = 8x  ∠D = 13x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 3x + 6x + 8x + 13x = 360°

⇒ 30x = 360

⇒ x = 360 ÷ 30 = 12

Thus the angles as follows,

∠A = (3 × 12)° = 36°

∠B = (6 × 12)° = 72°

∠C = (8 × 12)° = 96°

∠D = (13 × 12)° = 156°