Question

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The angles of a quadrilateral are in the ratio 1:3:1:3 . Find the angles?

Answer 1

Step-by-step explanation:

we know that the sum of all the angles of a quadrilateral is 360°

given ratio=1:3:1:3

let the ratio be in x

hence 1x,3x,1x,3x

adding the ratios we get

8x

so,

8x=360°

x=360/8

x=45°

now putting the value of x

we get

45, 135,45,135

angles of the quadrilateral are

45°,135°,45°,135°

hope it will help

Answer 2

Answer:

Step-by-step explanation:

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

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

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 3x + 1x + 3x = 360°

⇒ 8x = 360

⇒ x = 360 ÷ 8 = 45

So , the angles of the quadrilateral is

∠A = (1 × 45)° = 45°

∠B = (3 × 45)° = 135°

∠C = (1 × 45)° = 45°

∠D = (3 × 45)° = 135°