Q. 33.7( 3 Votes )

# In a quadrilateral ABCD, ∠ D is equal to 150° and ∠ A = ∠ B = ∠ C. Find ∠ A, ∠ B and ∠ C.

Answer :

**Given:**Measure of ∠ D = 150° and ∠ A= ∠ B = ∠ C

**To find:**∠ A, ∠ B, and ∠ C

**Formula Used:**Sum of angles of a quadrilateral = 360º

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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