(i) y = 100° (opposite angles of a parallelogram)

x + 100° = 180° (Adjacent angles of a parallelogram)

⇒ x = 180° – 100° = 80°

x = z = 80° (opposite angles of a parallelogram)

∴ x = 80°, y = 100° and z = 80°

(ii) 50° + x = 180°

⇒ x = 180° – 50° = 130° (Adjacent angles of a parallelogram)

x = y = 130° (opposite angles of a parallelogram)

x = z = 130° (corresponding angle)

(iii) x = 90° (vertical opposite angles)

x + y + 30° = 180° (angle sum property of a triangle)

⇒ 90° + y + 30° = 180°

⇒ y = 180° – 120° = 60°

 y = z = 60° (alternate angles)

(iv) z = 80° (corresponding angle)

z = y = 80° (alternate angles)

x + y = 180° (adjacent angles)

⇒ x + 80° = 180°

⇒ x = 180° – 80° = 100°

(v) x = 28°

y = 112°

z = 28°