Question

question given ( m parallel n ), find the value of ( x ). diagram: two parallel lines ( m ), ( n ), transversal, ( 80^circ ) angle, ( x^circ ) angle answer attempt 1 out of a

Explanation:

Step1: Identify the angle relationship

Since \( m \parallel n \) and the transversal creates corresponding angles, the angle of \( 80^\circ \) and \( x^\circ \) are corresponding angles. Corresponding angles are equal when lines are parallel.

Step2: Set the angles equal

So, \( x = 80 \) because corresponding angles are congruent.

Answer:

\( 80 \)