Question

2 in the diagram, line m is parallel to line n, and line p intersects lines m and n. use the diagram to fill in the blanks. the value of x is ____ because the angles in the diagram are ____.

Explanation:

Step1: Identify angle relationship

The angles are same-side exterior angles.

Step2: Apply supplementary angle rule

Same-side exterior angles are supplementary, so $x + 125 = 180$

Step3: Solve for x

$x = 180 - 125$
$x = 55$

Answer:

The value of x is $\boldsymbol{55^\circ}$ because the angles in the diagram are same-side exterior angles (supplementary).