given $m \\parallel n$, find the value of $x$ and $y$.
given $m \\parallel n$, find the value of $x$ and $y$.
Answer
Answer:
( x = 141 ), ( y = 141 )
Explanation:
Step1: Find ( x ) using supplementary angles
Since ( m \parallel n ) and the angle of ( 39^\circ ) and ( x^\circ ) are supplementary (they form a linear pair), we know that ( x + 39 = 180 ). Solving for ( x ):
( x = 180 - 39 = 141 ).
Step2: Find ( y ) using vertical or corresponding angles
The angle ( y^\circ ) and the angle adjacent to ( 39^\circ ) (which is equal to ( x^\circ ) by corresponding angles or vertical angles) are equal. Since ( x = 141 ), ( y = 141 ) (either by vertical angles with the angle supplementary to ( 39^\circ ) or corresponding angles).