Given:
<EBC = 27° and <ADE = 52°
a)
A kite, their diagonals are perpendicular (AC⊥ BD) so < BEC = 90°
<BCE = 90 - 27
<BCE = 63°
b)
Because AB = AD so triangle ABD is an isosceles triangle then <ABE = <ADE = 52°
<BAD = 180 - 2(52°)
<BAD = 180° - 104°
<BAD = 76°
