Question

Four angles of a quadrilateralare in the ratio 3:5:7:9.the greatest angle is _____.

Answer 1

Answer: 270

Step-by-step explanation:

Let the common factor be x

Ratio=3x:5x:7x:9x

Adding all angles In a quadrilateral is 360

24x=360

X=30

The largest angle will be 9*30

270degrees

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Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 3:5:7:9

Let ∠A = 3x  ∠B = 5x  ∠C = 7x  ∠D = 9x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 3x + 5x + 7x + 9x = 360°

⇒ 24x = 360

⇒ x = 360 ÷ 24 = 15

So , the angles of the quadrilateral is

∠A = (3 × 15)° = 45°

∠B = (5 × 15)° = 75°

∠C = (7 × 15)° = 105°

∠D = (9 × 15)° = 135°