Question

given ( m parallel n ), find the value of ( x ) and ( y ).
answer
attempt 1 out of 3
( x=)( y=)

Explanation:

Step1: Find the value of \( x \)

Since \( m\parallel n \), \( x \) and \( 65^{\circ} \) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \( x = 65 \).

Step2: Find the value of \( y \)

\( 65^{\circ} \) and \( y \) are supplementary angles (they form a linear pair). The sum of angles in a linear pair is \( 180^{\circ} \). So \( y=180 - 65 \).
\( y = 115 \)

Answer:

\( x = 65 \), \( y = 115 \)