If a line passes through two distinct lines and intersects them at distant points then this line is called **Transversal Line**.

Here line “l” is transversal of line m and n.

**Exterior Angles** – and

**Interior Angles** – and

Pairs of angles formed when a transversal intersects two lines.

**1. Corresponding Angles :**

- and
- and
- and
- and

**2. Alternate Interior Angles :**

- and
- and

**3. Alternate Exterior Angles:**

- and
- and

**4. Interior Angles on the same side of the transversal:**

- and
- and

**1. If a transversal intersects two parallel lines, then**

- Each pair of corresponding angles will be equal.
- Each pair of alternate interior angles will be equal.
- Each pair of interior angles on the same side of the transversal will be supplementary.

**2. If a transversal intersects two lines in such a way that**

- Corresponding angles are equal then these two lines will be parallel to each other.
- Alternate interior angles are equal then the two lines will be parallel.
- Interior angles on the same side of the transversal are supplementary then the two lines will be parallel.

**Example**

Find

**Solution**

Here, AB ∥ CD and EH is transversal.

EFB + BFG = 180° (Linear pair)

BFG = 180° – 133°

BFG = 47°

BFG = DGH (Corresponding Angles)

DGH = 47°

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