Question

solve for x.
(3x - 11)°
(2x + 16)°
x =
save answer

Explanation:

Step1: Identify angle - relationship

The angles $(3x - 11)^{\circ}$ and $(2x + 16)^{\circ}$ are vertical angles. Vertical angles are equal.
So, we set up the equation $3x-11 = 2x + 16$.

Step2: Solve the equation for x

Subtract $2x$ from both sides of the equation:
$3x-2x-11=2x - 2x+16$.
This simplifies to $x - 11=16$.
Then add 11 to both sides: $x-11 + 11=16 + 11$.

Answer:

$x = 27$