# Find the value of x. The diagram is not to scale. Lines F and G are parallel.

**Solution:**

From the given figure lines f and g are parallel.

Then, AB and CD are called as transversal and the sum of the angles ∠BAC and ∠ABD is 180°.

⇒ ∠BAC + ∠ABD = 180°

⇒ 5x + 9x + 26 = 180°

⇒ 14x = 154°

⇒ x = 11°

Note: A transversal line, in geometry, passes through two lines in the same plane at two distinct points.

## Find the value of x. The diagram is not to scale. Lines F and G are parallel.

**Summary:**

From the given figure where f and g are parallel, the value of x is 11°.