Question

finding angles in transversal problems (level 2)
score 0/5 possibly core
question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer
( x=)( y=)

Explanation:

Step1: Find \( x \)

Use the property of vertical angles. Vertical angles are equal.
\( x = 133^{\circ} \)

Step2: Find \( y \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( x + y=180^{\circ} \)
Substitute \( x = 133^{\circ} \) into the equation:
\( 133^{\circ}+y = 180^{\circ} \)
\( y=180^{\circ}-133^{\circ} \)
\( y = 47^{\circ} \)

Answer:

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