Question

ABCD is a kite if angle BCD equals 40degree find angle BDC and angle ABC

Answer 1

The fours sides of a rhombus are of equal length. This also means that opposite angles of a rhombus have equal measure. The interior angles add up to 360 because there are four side. (n-2)(180)=Interior Angle; where n=number of sides. So if the opposite angles are equal then if ABC=64, ABD=ABC=64. You can solve for the other angles as they will be complementary. So BCD=90-64=26 and because the other two angles are opposites BCD=BAC=26.