Answer:
The value of x is 20 ⇒ A
Step-by-step explanation:
When a line intersects two parallel lines, then some pairs of angles are formed
- Alternate interior angles which equal in measures
- Alternate exterior angles which equal in measures
- Corresponding angles which equal in measures
- Adjacent interior angles which are supplementary (the sum of their measures is 180°)
In the given figure
∵ Lines l and m are parallel
∵ They are intersected by a line
∴ The angles of measures (3x + 5)° and 65° are alternate interior angles
→ That means they are equal in measures
∵ Alternate interior angles are equal in measures
∴ (3x + 5)° = 65°
→ Subtract 5 from both sides
∵ 3x + 5 - 5 = 65 - 5
∴ 3x = 60
→ Divide both sides by 3
∴ x = 20
∴ The value of x is 20
