Question

The interior angle of a quadrilateral are in ratio 1 is to 2 is to 3 3 is to 4 find all the angles of the quadrilateral

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 1:2:3:4

Let ∠A = 1x  ∠B = 2x  ∠C = 3x  ∠D = 4x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 2x + 3x + 4x = 360°

⇒ 10x = 360

⇒ x = 360 ÷ 10 = 36

So , the angles of the quadrilateral is

∠A = (1 × 36)° = 36°

∠B = (2 × 36)° = 72°

∠C = (3 × 36)° = 108°

∠D = (4 × 36)° = 144°