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Q.

In a cyclic quadrilateral ABCD, if A=(2x+4)°,B=(y+3)°,C=(2y+10)°  and D=(4x5)° , then y=

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a

48°

b

50°

c

70°

d

127°

answer is B.

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Detailed Solution

In a cyclic quadrilateral the sum of opposite angles in equal to 180°

B+D=180°

y+3+4x5=180°

4x+y=182°(1)

A+C=180°

2x+4+2y+10=180°

2x+2y=180°14

2x+2y=166

x+y=83(2)

Solve (1) and (2)

Question Image

x=33

The value of 'x' is substituting in equation (2)

33+y=83

y=8333

y=50°

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