Question

If in a kite, the shorter diagonal divides the kite into an isosceles triangle with angles 80 degree , 50 degree, 50 degree; And another isosceles triangle formed so, has its smallest angle 50 degree. Find angles of kite *

Answer 1

So the answer is simple

Just assume in triangle MJL angle M is to be 80 degree so angle of J and L is 50 degree

So the adjacent opposite angle to J is l. the sum of adjacent opposite angles are always 90 degree.  So we know J but not L so the equation formed is .... 50+x=90 so the answer of x is 40.  So now angle j and l is 40 degree. now K will be 40+40+x=180 so its 180-80=100 degree

so the angles of the kite are 100, 80, 90, 90 which adds up to 360 degree.

HOpe the answer helped you a bit .... Any mistakes,   sorry, please forgive me...