Question

ABCD is a kite.

B
O
y = [?]
A 40°
C
Х
Enter the number
that belongs in
the green box.
D

Answer 1

50°

Explanation:

ABCD is a kite.

Therefore, AB = BC

`\therefore m\angle BCA= m\angle BAC = 40\degree \\</p><p>\because BD \perp AC.. (Diagonals \: of\: kite) \\</p><p>\therefore y + 90\degree + m\angle BCA = 180\degree \\</p><p>\therefore y + 90\degree + 40\degree = 180\degree \\</p><p>\therefore y = 180\degree - 130\degree \\</p><p>\huge\red {\boxed {y = 50\degree}}`