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Question 41
In the figure, BEST is a rhombus, then the value of y - x is
a) 40
b) 50
c) 20
d) 10

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Solution

Given: BEST is a rhombus, so,
TSBE
and BS is a transversal.
SBE=TSB=40 [alternate interior anges]
Also, y=90 [diagonals of a rhombus bisect at 90]

In ΔTSO,
STO+TSO+SOT=180 [Angle sum property of a triangle]
x+40+90=180x=1809040=50
yx=9050=40

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