Question

If l // m, determine the value of x. Which of the following options is correct?

A) x = 90°
B) x = 180°
C) x = 0°
D) x = 45°

Answer 1

If l parallel to m, the measure of x is 90°.

Step-by-step explanation:

If l parallel to m (l // m), then the alternate interior angles are congruent. In other words, if two lines are parallel, the corresponding angles formed by a transversal intersecting the lines are equal. Therefore, if we have a transversal intersecting l and m, and we know the measure of one of the corresponding angles, we can find the measure of x by subtracting the known angle measure from 180°.

For example, if the known angle measure is 90°, we can find the value of x by subtracting 90° from 180°:

x = 180° - 90° = 90°.

Therefore, the correct option is A) x = 90°.