Question

finding angles in transversal problems (level 2)
score 25
question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer
( x=)( y=)

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), \(x = 36^{\circ}\) (alternate interior angles are equal).

Step2: Use the property of supplementary angles

\(x + y=180^{\circ}\) (linear - pair of angles). Substitute \(x = 36^{\circ}\) into the equation: \(36^{\circ}+y = 180^{\circ}\). Then \(y=180^{\circ}-36^{\circ}=144^{\circ}\).

Answer:

\(x = 36\), \(y = 144\)