Answer:
x = 44°
Explanation:
According to the Exterior Angle Theorem of a triangle, the external angle is equal to the sum of the two interior opposite angles of a triangle.
This is because the interior angles of a triangle sum to 180° and angles on a straight line sum to 180°.
⇒ x = ∠CAB + ∠BCA
⇒ x = 14° + 30°
⇒ x = 44°
Proof
Interior angles of a triangle sum to 180°
⇒ ∠CAB + ∠ABC + ∠BCA = 180°
⇒ 14° + ∠ABC + 30° = 180°
⇒ ∠ABC = 180° - 14° - 30°
⇒ ∠ABC = 136°
Angles on a straight line sum to 180°
⇒ ∠ABC + x = 180°
⇒ 136° + x = 180°
⇒ x = 180° - 136°
⇒ x = 44°