Question

In a Quadrilateral ABCD ∠D is equal to 150 degree and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.​

Answer 1

Answer:

∠A =∠B =∠C = 70°

Step-by-step explanation:

∠D = 150°

Let∠A =∠B =∠C = x

By angle sum property of quadrilateral,

∠A + ∠B + ∠C +∠D = 360°

x + x +x+∠D = 360°

3x+∠D = 360°

3x = 360°–∠D

30 = 360° – 150°

3x = 210°

x = 70°

Hence,∠A =∠B =∠C = 70°.

Thanks

Answer 2

Answer:

70°

Step-by-step explanation:

sum of angles of quadrilateral = 360 degree

angle A + angle b + angle c +angle d =360 degree

a/q ∠A = ∠B = ∠C

let ∠A , ∠B , ∠C = x

3x+150° = 360°

3x = 360- 150

x = 210/3 = 70

∠A = ∠B = ∠C = 70°