Question

question
given ( m parallel n ), find the value of ( x ) and ( y ).
diagram showing two parallel lines ( m ) and ( n ) cut by a transversal, with a ( 39^circ ) angle, ( y^circ ) at line ( m ), and ( x^circ ) at line ( n )
answer attempt 1 out of 3
( x = square )
( y = square )

Explanation:

Step1: Find x using alternate interior angles

Since \( m \parallel n \) and the transversal cuts them, \( x \) and \( 39^\circ \) are alternate interior angles. Alternate interior angles are equal when lines are parallel. So \( x = 39 \).

Step2: Find y using linear pair

\( y \) and \( 39^\circ \) form a linear pair, so their sum is \( 180^\circ \). So \( y = 180 - 39 = 141 \).

Answer:

\( x = 39 \), \( y = 141 \)