Question

solve for x.
(2x - 15)°
59°
x =
submit

Explanation:

Step1: Identify angle - relationship

Since the angles $(2x - 15)^{\circ}$ and $59^{\circ}$ are corresponding angles (assuming $FG\parallel HI$ as indicated by the arrow - like marks), they are equal. So we set up the equation $2x-15 = 59$.

Step2: Solve the equation for x

Add 15 to both sides of the equation: $2x-15 + 15=59 + 15$, which simplifies to $2x=74$.

Step3: Isolate x

Divide both sides of the equation $2x = 74$ by 2: $\frac{2x}{2}=\frac{74}{2}$, so $x = 37$.

Answer:

$37$