In figure, BEST is a parallelogram. Find the values of x, y and z.

1.	In figure, BEST is a parallelogram. Find the values of x, y and z.
Answer» ∵ BEST is a parallelogram. ∴ ∠B + x° = 180° Adjacent angles of a parallelogram are supplementary ⇒ 110° + x° = 180° ⇒ x° = 180° – 110° ⇒ x° = 70° ⇒ x = 70 ∵ Opposite angles of a parallelogram are equal ∴ x° = y° ⇒ 70° = y° ⇒ y = 70 and z° = 110° ⇒ z = 110

Answer»

∵ BEST is a parallelogram.

∴ ∠B + x° = 180°

Adjacent angles of a parallelogram are supplementary

⇒ 110° + x° = 180°

⇒ x° = 180° – 110°

⇒ x° = 70°

⇒ x = 70

∵ Opposite angles of a parallelogram are equal

∴ x° = y°

⇒ 70° = y°

⇒ y = 70 and z° = 110°

⇒ z = 110

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