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Question
In the figure, BEST is a rhombus, Then the value of y – x is ______.
Options
40°
50°
20°
10°
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Solution
In the figure, BEST is a rhombus, Then the value of y – x is 40°.
Explanation:
Given, A rhombus BEST.
TS || BE and BS is transversal.
∴ ∠SBE = ∠TBS = 40° ...[Alternative interior angles]
Also, ∠y = 90° ...[Diagonals bisect at 90°]
In ΔTSO, ∠STO + ∠TSO = ∠SOE
x + 40° = 90°
⇒ x = 50° ...[Exterior angle property of triangle]
∴ y – x = 90° – 50° = 40°
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