Question

question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer
( x=quad y=quad )

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So \(x = 47\) (since \(x\) and the \(47^{\circ}\) angle are vertical angles).

Step2: Use linear - pair property

Angles \(x\) and \(y\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So \(x + y=180\). Substitute \(x = 47\) into the equation: \(47 + y=180\). Then \(y=180 - 47\).

Answer:

\(x = 47\), \(y = 133\)