Question

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

Explanation:

Step1: Use property of parallel lines

Since \(a\parallel b\) and \(e\parallel f\), the sum of the co - interior angles \((x + 1)+(x - 3)=180\).
\[

$$\begin{align*} (x + 1)+(x - 3)&=180\\ x+1+x - 3&=180\\ 2x-2&=180\\ 2x&=182\\ x& = 91 \end{align*}$$

\]

Step2: Find the value of \(y\)

The angle \(y\) and \((x - 3)\) are corresponding angles. Since \(e\parallel f\), \(y=x - 3\). Substitute \(x = 91\) into the equation, we get \(y=91-3=88\).

Answer:

88