Question

find the value of x. 104° 4(x + 1)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle measuring $104^{\circ}$ and the angle measuring $4(x + 1)^{\circ}$ 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 by 4: $\frac{4x}{4}=\frac{100}{4}$, so $x = 25$.

Answer:

$25$