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Question

Consider the following figure. The value of y is



A

Data insufficient – the value of x is required

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B

60°

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C

45°

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D

90°

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Solution

The correct option is C

90°


In ΔBDA, x+x+y=180 (by angle sum property)
Similarly, in ΔBDC,x+x+BDC = 180
Comparing the two equations, we have BDC=y.
Also, BDC + BDA = 180 (linear pair)
y+y=180
y=90

Mathematics

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