1.

In a trapezium PQRS, PQ || SR, find the value of ∠x and ∠y.

Answer»

∵ PQ || SR
∴ x + 90° = 180°
⇒ x = 180° – 90° = 90°
Again ∴ PQRS is a quadrilateral
∴ x + y + 130° + 90° = 360°
∵ We know that sum of all angles of a quadrilateral = 360°
⇒ 90° + y + 130° + 90° = 360°
⇒ y + 310° = 360°
⇒ y = 360° – 310°
⇒ y = 50°


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