Question

given ( m parallel n ), find the value of ( x ) and ( y ).

Explanation:

Step1: Find x using supplementary angles

Angles \( x^\circ \) and \( 49^\circ \) are supplementary (they form a linear pair), so their sum is \( 180^\circ \).
\[
x + 49 = 180
\]
Subtract \( 49 \) from both sides:
\[
x = 180 - 49 = 131
\]

Step2: Find y using corresponding angles (or alternate interior angles)

Since \( m \parallel n \), the angle \( y^\circ \) and the \( 49^\circ \) angle are corresponding angles (or alternate interior angles), so they are equal.
\[
y = 49
\]

Answer:

\( x = 131 \), \( y = 49 \)