Question

question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer
attempt 1 out of 2
( x = )
( y = )

Explanation:

Step1: Find the value of \( y \)

Since \( y^{\circ} \) and \( 53^{\circ} \) are supplementary angles (they form a linear pair), we use the formula \( y + 53=180 \).
Subtracting 53 from both sides gives \( y = 180 - 53 \).

Step2: Find the value of \( x \)

Because \( m\parallel n \), \( x^{\circ} \) and \( 53^{\circ} \) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \( x = 53 \).

Answer:

\( x = 53 \), \( y = 127 \)