Angle Of Isosceles Trapezium Is 115в° Find Angles B C And D

Angle A of an isosceles trapezium is 115° ; find the angles B, C and D.

Answers:

Since, the base angles of an isosceles

trapezium are equal,

∴ ∠A = ∠B = 115°

Also, ∠A and ∠D are co-interior angles

and their sum = 180°

∴ ∠A + ∠D = 180°

⇒ 115° + ∠D = 180°

⇒ ∠D = 180° – 115°

⇒ ∠D = 65°

Also, ∠D = ∠C = 65°

∴ ∠B = 115°, ∠C = 65° and ∠D = 65°