Question

In the figure, BEST is a rhombus, then the value of y – x is (a) 40° (b) 50° (c) 20° (d) 10°

Answer 1

Answer:

BEST is a rhombus,So, TS || BS∠SBE = ∠BST = 40° (alternate interior angles)As Diagonals of a rhombus bisect at right angles.∠y = 90°

In Δ TSO,

∠STO + ∠OST = ∠EOS (Exterior angle property)

⇒ x + 40° = 90° ⇒ x = 90° - 40° ⇒ x = 50°

So, y - x = 90° - 50°

= 40°