Math, asked by mugurvs, 4 days ago

In the given figure ABCD, find the value of x​

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Answers

Answered by CopyThat
30

Answer:

  • 140° is the measure of angle x.

Step-by-step explanation:

Given :

  • Three angles in a quadrilateral respectively.
  • ∠C = 70° ; ∠B = 80° ; ∠A = 70°

To find :

  • ∠x

Solution :

  • Sum of all the exterior angles in a quadrilateral is equal to 360°.

∠A + ∠B + ∠C + ∠D = 360°

⇒ 70° + 80° + 70° + x = 360°

⇒ 140° + 80° + x = 360°

⇒ 220° + x = 360°

∴ x = 140°

∴ The measure of x (∠D) is 140°.

Answered by StarlightPhoenix
5

Answer:

The value of x is 140°

Step-by-step explanation:

110+100+110+p=360°

p=360°-320°

p= 40°

angle x = 180°-40°

= 140°

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