Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle BCE$ and the angle with measure $(10x + 5)^{\circ}$ are vertical angles. So, $10x+5 = 75$.

Step2: Solve the equation for x

Subtract 5 from both sides of the equation $10x+5 = 75$:
$10x=75 - 5$
$10x=70$
Divide both sides by 10: $x=\frac{70}{10}=7$.

Answer:

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