Question

finding angles in transversal problems (level 2)
score: 1/5 penalty: none
question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer attempt 1 out of 2
( x=)
( y=)

Explanation:

Step1: Find the value of \( x \)

Since \( m\parallel n \), \( x \) and \( 127^{\circ} \) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \( x = 127 \).

Step2: Find the value of \( y \)

\( x \) and \( y \) are supplementary angles (they form a linear - pair). The sum of supplementary angles is \( 180^{\circ} \). So \( y=180 - x \). Substitute \( x = 127 \) into the equation, \( y = 180-127=53 \).

Answer:

\( x = 127 \), \( y = 53 \)