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Question

In the figure given below,
ABCD is a rhombus. Find the value of x.

A
20
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B
25
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C
30
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D
50
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Solution

The correct option is B 25

We know that a rhombus is a parallelogram and the adjacent angles of a parallelogram are supplementary.

Hence, A+ B=180
130+ ABD+ DBC=180...(i)

We also know that diagonals of a rhombus bisect its angles.

Therefore,
ABD= DBC=x

Now, from equation (i)
130+x+x=180
2x=180130
2x=50
x=502
x=25
Hence, the value of x=25°.

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