8. In the given figure, ABCD is a rhombus. What
is the value of y-X?
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Answer:
In the above figure AOB= 40°
AOB=OCD=40°
We know ,
the two diagonals of a rhombus bisect at 90°.
therefore y=90°
In triangle OCD the angles are 40° and 90° .
therefore,
x+40°+90°=180°(as summation of all internal angles of a triangle is 180°)
or, x=180°-130°=50
x=50° and. y=90°
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