In a quadrilateral ABCD, ∠ D is equal to 150° and ∠ A = ∠ B = ∠ C. Find ∠ A, ∠ B and ∠ C.
Measure of ∠ D = 150°
Let ∠ A= ∠ B = ∠ C = x°
Sum of the angles of the quadrilateral is 360°.
⇒ x° +x° +x° +150° = 360°
⇒ 3x° +150° = 360°
⇒ 3x° = 360° -150° = 210°
∴ x =
= 70°
∴ ∠ A = 70°, ∠ B = 70° and ∠ C = 70°.
Let ∠ A= ∠ B = ∠ C = x°
Sum of the angles of the quadrilateral is 360°.
⇒ x° +x° +x° +150° = 360°
⇒ 3x° +150° = 360°
⇒ 3x° = 360° -150° = 210°
∴ x =
= 70°∴ ∠ A = 70°, ∠ B = 70° and ∠ C = 70°.
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