Angles in the ratio 2:9 are 20° and 90° respectively.
Step-by-step explanation:
- Step 1: Find the 2 angles in the quadrilateral in the ratio 2:9. Let the angles be 2x and 9x.
Sum of the angles of a quadrilateral = 360°
⇒ 2x + 9x + 210° + 40° = 360°
⇒ 11x + 250° = 360°
⇒ 11x = 360 - 250 = 110°
⇒ x = 110/11 = 10
∴ Angles are 2x = 20° and 9x = 90°
