Question

find the value of x. 11) (2 + 5x)° 82°

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. The angle $(2 + 5x)^{\circ}$ and the $82^{\circ}$ angle are vertical angles. So we set up the equation $2+5x = 82$.

Step2: Solve the equation for x

Subtract 2 from both sides of the equation: $5x=82 - 2$. So $5x = 80$. Then divide both sides by 5: $x=\frac{80}{5}$.

Answer:

$x = 16$