Question

answer attempt 1 out of 2
$x = square$
$y = square$

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, \(7x + 16=9x + 4\).
\[

$$\begin{align*} 7x+16&=9x + 4\\ 16-4&=9x-7x\\ 12&=2x\\ x& = 6 \end{align*}$$

\]

Step2: Use linear - pair property

The sum of angles \((7x + 16)\) and \((y + 3)\) is \(180^{\circ}\) (linear - pair of angles). Substitute \(x = 6\) into \(7x+16\): \(7\times6 + 16=42+16 = 58\). Then, since \(58+(y + 3)=180\), we have \(y+3=180 - 58\), \(y+3=122\), \(y = 119\).

Answer:

\(x = 6\), \(y = 119\)