Answer:
The value of x is 15
Step-by-step explanation:
If a line intersected two parallel lines, then some pairs of angles are formed
- Alternate interior angles, equal in measures
- Alternate exterior angles, equal in measures
- Corresponding angles, equal in measures
- Adjacent interior angles, the sum of their measures is 180°
In the given figure
∵ There are two parallel lines intersected by another line
∵ The angles of measures (4x + 2) and 62° are alternate interior angles
∴ Alternate interior angles are equal in measures
∴ 4x + 2 = 62
→ Subtract 2 from both sides
∵ 4x + 2 - 2 = 62 - 2
∴ 4x = 60
→ Divide both sides by 4
∴ x = 15
∴ The value of x is 15
