Question

10 find the value of ( x ) in the figure below. assume that the lines are parallel. (figure of two parallel lines cut by a transversal, with one angle ( 75^circ ) and another angle ( 2x + 15^circ )) a 90 b 120 c 30 d 45

Explanation:

Step1: Identify congruent angles

The given angles are alternate exterior angles, so they are equal:
$2x + 15 = 75$

Step2: Isolate the term with $x$

Subtract 15 from both sides:
$2x = 75 - 15$
$2x = 60$

Step3: Solve for $x$

Divide both sides by 2:
$x = \frac{60}{2}$

Answer:

C. 30