Question

find the value of x.
41°
(2x - 1)°
x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle measuring $41^{\circ}$ and the angle measuring $(2x - 1)^{\circ}$ are vertical angles. So, $41=2x - 1$.

Step2: Solve the equation for x

Add 1 to both sides of the equation: $41 + 1=2x-1 + 1$, which simplifies to $42 = 2x$. Then divide both sides by 2: $\frac{42}{2}=\frac{2x}{2}$, so $x = 21$.

Answer:

$21$