Question

look at the diagram. which equation can be used to solve for x? 6x = 160, 8x = 160, 7x - 1 = 160, 5x - 1 = 160. solve for x.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle with measure $160^{\circ}$ and the sum of the angles $(5x - 1)^{\circ}$ and $(2x)^{\circ}$ are vertical angles. So, $(5x-1)+2x = 160$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side, we get $7x-1 = 160$.

Answer:

The equation that can be used to solve for $x$ is $7x - 1=160$. To solve for $x$ in $7x - 1 = 160$:

Step1: Add 1 to both sides

$7x-1 + 1=160 + 1$, which simplifies to $7x=161$.

Step2: Divide both sides by 7

$\frac{7x}{7}=\frac{161}{7}$, so $x = 23$.