Q. 414.5( 2 Votes )

# In the figure, BEST is a rhombus. Then the value of y-x is

A. 40°

B. 50°

C. 20°

D. 10°

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°

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In the figure, BEST is a rhombus. Then the value of y-x is

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