Question

find x given y = 16° in the figure below. x = °

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $5x=3x + y$.

Step2: Substitute $y = 16^{\circ}$

Substitute $y = 16$ into the equation $5x=3x + y$, we get $5x=3x + 16$.

Step3: Solve for $x$

Subtract $3x$ from both sides: $5x-3x=3x + 16-3x$. This simplifies to $2x=16$. Then divide both sides by 2: $x=\frac{16}{2}$.

Answer:

$8$