Question

$mangle stu = mangle tsv$ because they are alternate interior angles.$mangle tus = mangle usw$ because they are alternate interior angles.$mangle tsv + x^circ + mangle usw = 180^circ$ because the three angles form a straight line.so the value of $x$ must be

Explanation:

Step1: Use alternate interior angles

$m\angle TSV = m\angle STU = 65^\circ$

Step2: Use alternate interior angles

$m\angle USW = m\angle TUS = 55^\circ$

Step3: Sum angles on straight line

$m\angle TSV + x^\circ + m\angle USW = 180^\circ$
Substitute values: $65 + x + 55 = 180$

Step4: Solve for x

$x = 180 - 65 - 55$
$x = 60$

Answer:

$60$