Question

ABCD is a parallelogram a circle passes through a and D and cuts ab at a and DC at if Angle B equal to 80 degree then angle abc is equal to

Answer 1

Answer:

ANSWER

Given, ABCD is a parallelogram and AEFD is a cyclic quadrilateral.

∠BEF=80∘

Now, ∠ADC=∠BEF=80

∘

(Angle of a cyclic quadrilateral is equal to the opposite exterior angle )

Also, now in parallelogram ABCD,

∠ABC=∠ADC=80

∘

(Opposite angles of a parallelogram are equal)