Question

these angles are called ingrese su respuesta... angles and the value of x is ingrese su respuesta...

Explanation:

Step1: Identify angle - type

The given angles are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal.

Step2: Set up the equation

Since the two angles $(9x + 23)^{\circ}$ and $(5x+17)^{\circ}$ are equal, we set up the equation $9x + 23=5x + 17$.

Step3: Solve the equation for x

Subtract $5x$ from both sides: $9x-5x + 23=5x-5x + 17$, which simplifies to $4x+23 = 17$. Then subtract 23 from both sides: $4x+23 - 23=17 - 23$, giving $4x=-6$. Divide both sides by 4: $x=\frac{-6}{4}=-\frac{3}{2}=-1.5$.

Answer:

Corresponding; - 1.5