Question

solve for x (just put the number, not x = !!!!)

Explanation:

Step1: Solve for \( y \)

Since \( 6y - 5 = 3y + 7 \) (sides of a kite are equal), we subtract \( 3y \) from both sides: \( 6y-3y - 5=3y - 3y+7 \), which gives \( 3y-5 = 7 \). Then add 5 to both sides: \( 3y-5 + 5=7 + 5 \), so \( 3y=12 \). Divide by 3: \( y = 4 \).

Step2: Use angle sum property of kite

The sum of adjacent angles in a kite: \( 2(2x - 1)+2\times127=360 \) (sum of angles in a quadrilateral is \( 360^{\circ} \)). First, simplify: \( 2(2x - 1)=360 - 254 \), \( 2(2x - 1)=106 \). Divide by 2: \( 2x-1 = 53 \). Add 1: \( 2x=54 \). Divide by 2: \( x = 27 \).

Answer:

27