Question

a table makes the angle shown with the floor. what must be the value of x in order for the top of the table to be parallel with the ground?
a 30°
b 45°
c 55°
d 90°
e 135°

Explanation:

Step1: Recall parallel - line property

When two lines are parallel, corresponding angles are equal. Here, if the top of the table is parallel to the ground, the angle \(x\) and the given \(135^{\circ}\) angle are corresponding angles.

Step2: Determine the value of \(x\)

Since corresponding angles are equal for parallel lines, \(x = 135^{\circ}\).

Answer:

E. \(135^{\circ}\)