Question

look at the diagram. which equation can be used to solve for x? 4x = 76, 4x + 76 = 90, 4 + x = 76, 4x + 76 = 180. solve for x.

Explanation:

Step1: Identify angle - relationship

Vertical angles are equal. The angles measuring $76^{\circ}$ and $4x$ are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we have the equation $4x = 76$.

Step3: Solve for x

Divide both sides of the equation $4x = 76$ by 4. So, $x=\frac{76}{4}=19$.

Answer:

The equation to solve for x is $4x = 76$, and $x = 19$.