Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(a\parallel b\) and \(e\parallel f\), \((x - 3)=(x + 1)-y\) (corresponding - angles).

Step2: Simplify the equation

\(x-3=x + 1-y\), subtract \(x\) from both sides: \(-3=1 - y\).

Step3: Solve for \(y\)

Add \(y\) to both sides and add 3 to both sides: \(y=4\). But this is wrong. The correct is that \((x - 3)+(x + 1)=180\) (same - side interior angles).

Step4: Solve the new equation

\(2x-2 = 180\), \(2x=182\), \(x = 91\). Then \(y=x - 3=88\).

Answer:

88