Question

in a cyclic quadrilateral ABCD if AB||CD and angle B=70 degree .find the remaining angles​

Answer 1

Step-by-step explanation:

angle B + angle D =  180 {opposite angle of cyclic quadrilateral}

70 + angle d=180

angle d = 180-70 (opp. angles of cyclic quad. are supplementary)

angle D = 110

now,

angle B + angle C = 180  (adj. angles of cyclic quad. are supplementary)

70+ angle c= 180

angle c = 180-70

angle C = 110

now,

angle D + angle A = 180 (adj. angles of cyclic quad. are supplementary)

110 + angle A = 180

angle A = 180 - 110

angle A = 70

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