Question

Abcd is a kite y= I know x=90

Answer 1

Answer:   y = 50

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Explanation:

For any kite, the adjacent sides are congruent.

This leads to AB = BC and AD = DC

Using the SSS congruence rule, we can prove triangle ABD is congruent to triangle CBD.

From that we can say

Angle ABD = Angle CBD

as these angles correspond to one another.

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So this means angle ABD is y

Let E be the intersection point of the diagonals. Angle AEB is x = 90 as you found earlier. The diagonals of any kite are always perpendicular.

Focus on triangle AEB

The three angles of any triangle add to 180

A+E+B = 180

40+x+y = 180

40+90+y = 180

130+y = 180

y = 180-130

y = 50