Question

find the value of x.
104°
4(x + 1)°
x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle \(104^{\circ}\) and \(4(x + 1)^{\circ}\) are vertical angles. So \(4(x + 1)=104\).

Step2: Expand the left - hand side

Using the distributive property \(a(b + c)=ab+ac\), we have \(4x+4 = 104\).

Step3: Isolate the variable term

Subtract 4 from both sides of the equation: \(4x+4 - 4=104 - 4\), which simplifies to \(4x=100\).

Step4: Solve for x

Divide both sides of the equation \(4x = 100\) by 4: \(x=\frac{100}{4}\).

Answer:

25