Question

In a parralelogram ABCD if angle A= 108⁰, find angle B,C, D​

Answer 1

Answer:

ABCD is a parallelogram.

⇒ ∠A=108

o

[ Given ]

⇒ ∠A=∠C [ Opposite angles of a parallelogram are equal ]

∴ ∠C=108

o

⇒ ∠A+∠D=180

o

[ Adjacent angles of parallelogram are supplementary ]

⇒ 108

o

+∠D=180

o

∴ ∠D=72

o

⇒ ∠D=∠B [ Opposite angles of a parallelogram are equal ]

∴ ∠B=72

o

Answer 2

Answer:

A=108, B=72 ,D =72

Step-by-step explanation:

in parallelogram opposite angles are equal

therefore angle A =angle C=108

angle b =angle d

therefore

angle ( A+B+C+D)= 360 ( angle sum of quadrilateral)

108 +108 + 2 angle c =360

2 angle d =360-216

2 angle d=144

angle d =144/2

angle d =angle b =72