Question

1. kevin draws the letter v on a piece of paper that has parallel lines. the letter v creates an angle with a measurement of x°. what is the value of x?

Explanation:

Step1: Recall angle - properties of parallel lines

The 105 - degree angle and the angle adjacent to \(x\) are corresponding angles. So the angle adjacent to \(x\) is 105 degrees.

Step2: Use the linear - pair property

Since \(x\) and the 105 - degree angle form a linear pair (sum of angles on a straight line is 180 degrees), we have \(x + 105=180\).

Step3: Solve for \(x\)

Subtract 105 from both sides of the equation: \(x=180 - 105\).

Answer:

75