Math, asked by vinayaksingh0207, 7 months ago

in a quadrilateral ABCD, the angles A B C and D are in the ratio 1:2:3:4: find the measure of each angle in quadrilareal

Answers

Answered by Tanishk82
2

Step-by-step explanation:

10x=360°

x=36°

measure of each angle is 36°

Answered by Anonymous
2

Hey mate

Hey mateHere is ur answer:-

Let x be the angles

So, each angle would be x, 2x, 3x, and 4x respectively.

We know that angle sum property of a quadrilateral is 360°

→So, we got an equation to compute, i.e

x+2x+3x+4x = 360°

10x = 360

x = 360÷10

x = 36°

So, as we know the value of x, each angle's measure is -

  • angle A = x = 36°
  • angle B = 2x = 72°
  • angle C = 3x = 108°
  • angle D = 4x = 144°

therefore, measure of angles A, B, C and D is 36°, 72°, 108° and 144° respectively.

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