Question

in a quadrilateral ABCD angle a = 150 degree angle B = angle C = angle D find Angle B and angle C and angle d

Answer 1

Answer:

Angle D = 150°

Angle A = 70°

Angle B = 70°

Angle C = 70°

Step-by-step explanation:

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Answer 2

Given,

• ∠A = 150°
• ∠B = ∠C =∠D

To find,

• We have to find the ∠B, ∠C, and ∠D.

Solution,

We can simply find the ∠B, ∠C, and ∠D by using the angle sum property of a quadrilateral.

Let us suppose ∠B = ∠C =∠D = x

In quadrilateral ABCD,

∠A +∠B + ∠C +∠D = 360°    [Angle sum property]

    150° + x + x + x = 360°

             150° + 3x = 360°

                        3x = 360° - 150°

                        3x  = 210°

                         x   = 210/3

                         x   = 70°

So, ∠B = ∠C =∠D = 70°

Hence, in a quadrilateral, ABCD ∠ A = 150° ∠ B = ∠C = ∠ D, then ∠B, ∠ C, and ∠ D are equal to 70°.