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QUESTION IMAGE

solve for x. (2x - 5)° 105° x =

Question

solve for x.
(2x - 5)°
105°
x =

Explanation:

Step1: Identify angle - relationship

Since the two lines are parallel, the corresponding angles are equal. The angle $(2x - 5)^{\circ}$ and the $105^{\circ}$ angle are corresponding angles. So, $2x-5 = 105$.

Step2: Solve the equation for x

Add 5 to both sides of the equation: $2x=105 + 5$. So, $2x=110$.

Step3: Isolate x

Divide both sides of the equation by 2: $x=\frac{110}{2}$.

Answer:

$x = 55$