Question

question 1 (5 points) listen find the value of x in the given figure using properties of parallel lines. a) 35° b) 75° c) 15° d) 105°

Explanation:

Step1: Identify Supplementary Angles

The angle of \(105^\circ\) and its adjacent angle (forming a linear pair) sum to \(180^\circ\). Let the adjacent angle be \(y\), so \(105^\circ + y = 180^\circ\). Solving, \(y = 180^\circ - 105^\circ = 75^\circ\).

Step2: Use Parallel Lines Property

Since lines are parallel, the angle \(x\) and \(y\) are alternate interior angles (or corresponding, depending on the figure's parallel lines), so \(x = y = 75^\circ\).

Answer:

B) \(75^\circ\)