Question

ABCD is a parallelogram ABEF are the points on a circle angle DEF=80° find out the angles of the quadrilateral AEFB​

Answer 1

Answer:

abe=80;bef=100and afe and bef each will = 90

Step-by-step explanation:

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Answer 2

Answer:

<EAB = 100

<ABF = 80

<BFE = 80

<AEF = 100

Step-by-step explanation:

<ABF = 80 (exterior angle of a quadrilateral is equal to interior opposite angle)

<DCF = 180-80 = 100 (adjacent angles of a parellelogram are supplementary)

<AEF = 100 (exterior angle of a quadrilateral is equal to interior opposite angle)

<ABF+<AEF = 100+80 = 180

∴ ABEF is cylic

<EDC = 80 (opposite angles of a parallelogram are equal)

<EAB = 100 (opposite angles of a parallelogram are equal)

<EFB = 80 (AEFB is cyclic)