In a kite ABCD, AB=AD and BC =DC ,if angle A= 80, angle B =40 then find angle C and angle D ?

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Answer 1 · 2017-11-24T10:55:20

# /_C=200^0 and /_D=40^0#

A Kite is a flat shaped with straight sides. It has 2 pairs of equal

adjacent sides. #AB=AD and BC= DC#

There is one set of congruent angles. These are opposite of each

other and are between sides that are different lengths. The angles

#/_B = /_D =40^0# as at #B and D# two pairs meet. Angle sum of a

quadrilateral's interior angles must be 360°.

#/_A + /_B +/_C + /_D=360^0 #

#:. /_C=360-(80+2*40)= 200^0 #

#:. /_C=200^0 and /_D=40^0# [Ans]