Question

look at the diagram. which equation can be used to solve for x? 10x + 5 = 75 15x + 75 = 180 10x + 80 = 180 15x = 75 solve for x. x =

Explanation:

Step1: Identify angle - relationship

Since $\angle BCE$ and the angle $(10x + 5)^{\circ}$ are vertical angles, they are equal. So we set up the equation $10x+5 = 75$.

Step2: Solve the equation for x

Subtract 5 from both sides: $10x=75 - 5$. So $10x = 70$. Then divide both sides by 10: $x=\frac{70}{10}=7$.

Answer:

The equation is $10x + 5=75$ and $x = 7$