Question

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

Explanation:

Step1: Use kite - angle property

In a kite, the non - vertex angles are congruent. So, we set up the equation \(4x - 5=2x + 35\).

Step2: Isolate the variable terms

Subtract \(2x\) from both sides of the equation: \(4x-2x - 5=2x-2x + 35\), which simplifies to \(2x-5 = 35\).

Step3: Isolate the variable

Add 5 to both sides: \(2x-5 + 5=35 + 5\), getting \(2x=40\).

Step4: Solve for \(x\)

Divide both sides by 2: \(\frac{2x}{2}=\frac{40}{2}\), so \(x = 20\).

Answer:

D. \(x = 20\)