Question

given ( m parallel n ), find the value of ( x ). (diagram shows two parallel lines ( m ) and ( n ), a transversal, a ( 15^circ ) angle, and an ( x^circ ) angle.)

Explanation:

Step1: Identify Angle Relationship

Since \( m \parallel n \) and the transversal creates alternate interior angles (or corresponding angles, depending on the diagram), the \( 15^\circ \) angle and \( x^\circ \) are equal (alternate interior angles are congruent when lines are parallel).

Step2: Determine \( x \)

Thus, \( x = 15 \).

Answer:

\( x = 15 \)