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find the value of x. (5x - 10)° 45°

Question

find the value of x.
(5x - 10)°
45°

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles (assuming the lines are parallel) and corresponding angles are equal. So, $5x - 10=45$.

Step2: Solve the equation for $x$

Add 10 to both sides of the equation: $5x-10 + 10=45 + 10$, which simplifies to $5x=55$.

Step3: Isolate $x$

Divide both sides of the equation $5x = 55$ by 5: $x=\frac{55}{5}=11$.

Answer:

$11$