Question

if ( a parallel b ) and ( e parallel f ), what is the value of ( y )?
( 87 )
( 88 )
( 91 )
( 92 )

Explanation:

Step1: Use the property of parallel lines

Since \(a\parallel b\) and \(e\parallel f\), \((x + 1)^{\circ}+(x - 3)^{\circ}=180^{\circ}\) (consecutive interior angles).

$$
LATEXBLOCK0
$$

Step2: Find the value of \(y\)

Since \(a\parallel b\), \(y^{\circ}=(x + 1)^{\circ}\) (corresponding angles). Substitute \(x = 91\) into \(x + 1\), we get \(y=x + 1=91+1=92\)

Answer:

92