Question

select the correct answer.
kite abdc is shown. what is the value of x?
(4x - 5)°
(2x + 35)°
a. x = 65
b. x = 20
c. x = 15
d. x = 55

Explanation:

Step1: Use the property of a kite

In a kite, one pair of opposite angles (the ones between the unequal sides) are bisected by the diagonal. So, \(4x - 5=2x + 35\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(4x-2x - 5=2x-2x + 35\), which simplifies to \(2x-5 = 35\).
Add \(5\) to both sides: \(2x-5 + 5=35 + 5\), so \(2x=40\).
Divide both sides by \(2\): \(x=\frac{40}{2}\).

Answer:

B. \(x = 20\)