Answer:
60° and 180°
Step-by-step explanation:
Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)
A hexagon has 6 sides
⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°
Let x = smallest unknown angle
Therefore, 3x = largest unknown angle
Sum the angles and solve for x:
⇒ 114° + 130° + 140° + 96° + x + 3x = 720°
⇒ 480° + 4x = 720°
⇒ 4x = 720° - 480°
⇒ 4x = 240°
⇒ x = 60°
Therefore, smallest unknown angle = 60°
and largest unknown angle = 3 × 60° = 180°
