In the following figure, ABCD is a rhombus in which ∠ABC = 110°. Then find the
value of (x + y).
Answers
Angel B + Angel C = 180°.......( Adjacent angles )
= 110 + C = 180
C= 180- 110
C = 70
therefore angle x = 70 ÷ 2
= 35
angle Y = 35
AnSwer -:
The value of (x+y) = 70 °
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Explanation-:
Given ,
ABCD is a Rhombus
∠ABC = 110 °
To find,
The value of (x +y)
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Now ,
We know that ,
In a rhombus, adjacent angles are
supplementary.
∴ ∠B+∠C=180°
= 110 ° + (x+y) = 180 °
= (x+y) =180 ° - 110 °
= (x+y) = 70 °
Hence ,
The value of (x+y) = 70 °
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Rhombus-: A rhombus is a quadrilateral
whose four sides all have the same
length.
Properties of Rhombus -:
•The opposite sides of a rhombus are
parallel.
•Opposite angles of a rhombus are
equal.
•In a rhombus, diagonals bisect each
other at right angles.
•Diagonals bisect the angles of a
rhombus.
•The sum of two adjacent angles is
equal to 180 degrees.
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