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10. what is the value of x in the figure below? 50° (2x + 8)°

Question

  1. what is the value of x in the figure below? 50° (2x + 8)°

Explanation:

Step1: Identify angle relationship

The two angles (50° and (2x + 8)°) are alternate interior angles, so they are equal.
$2x + 8 = 50$

Step2: Solve for x

Subtract 8 from both sides:
$2x = 50 - 8$
$2x = 42$

Divide both sides by 2:
$x = \frac{42}{2}$
$x = 21$

Answer:

21