Question

Find the value of x that makes m||n

Answer 1

x = 30°

Step-by-step explanation:

If line m is parallel to line n (m || n), then we know that the 54° angle and (x+24)° angle are corresponding angles.

If these angles are corresponding, it means that they are equal to one another due to their location being the same on each lines m and n.

If this is true, then so is the following:

54° = x° + 24°

Solve for x:

x° = 54° - 24° = 30°