#2**+1 **

Sorry I'm not CPhill... but here.

Since we know supplementary angles and vertical angles, we can solve this easily.

Angle BCD=20 degrees

Angle CDA=115 degrees.

That means Angle CBA is also 115 degrees, which makes this shape a kite.

Hope this helped!

CalTheGreat Mar 24, 2020

#5**+1 **

Here's away to prove this

Connect BD

Since AB =AD.....then in triangle DAB angles ADB and ABD are equal = [180 - 110]/2 =

70/2 = 35°

So angle CDB =180 -65 - 35 = 80°

And angle BCD = 20°

So...in triangle CDB angle CBD = 180 - 80 - 20 = 180 - 100 = 80°

But....in triangle CDB,angles CBD are equal

So....this means that CB = CD

But since CB = CD and AB = AD....then ABCD is a kite because it has two pairs of equal adjacent sides

CPhill Mar 24, 2020