Question

1. the posts for a stair rail are parallel. what is the value of x? 145 wing statements are true or false.

Explanation:

Step1: Identify angle - relationship

Since the posts are parallel, the 145 - degree angle and the angle adjacent to \(x\) are corresponding angles and are equal.

Step2: Use linear - pair property

The angle adjacent to \(x\) and \(x\) form a linear - pair (sum to 180 degrees). Let the angle adjacent to \(x\) be \(y = 145^{\circ}\). Then \(x + y=180^{\circ}\).

Step3: Solve for \(x\)

Substitute \(y = 145^{\circ}\) into the equation \(x + y = 180^{\circ}\), we get \(x=180 - 145\).
\(x = 35^{\circ}\)

Answer:

\(35\)