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find the value of x. (5x + 40)° 120°

Question

find the value of x. (5x + 40)° 120°

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles. Corresponding angles formed by parallel lines and a transversal are equal. So, $5x + 40=120$.

Step2: Solve for $x$

Subtract 40 from both sides of the equation: $5x=120 - 40$. So, $5x = 80$. Then divide both sides by 5: $x=\frac{80}{5}$.

Answer:

$x = 16$