Question

look at the diagram. which equation can be used to solve for x? 5x = 65; 5x + 65 = 180; 5 + x = 65; 5x + 65 = 90. solve for x. x =

Explanation:

Step1: Identify angle - relationship

Vertical angles are equal. The angle measuring $(5x)^{\circ}$ and the angle measuring $65^{\circ}$ are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we have the equation $5x = 65$.

Step3: Solve for x

Divide both sides of the equation $5x = 65$ by 5. So, $x=\frac{65}{5}=13$.

Answer:

The equation is $5x = 65$ and $x = 13$