Question

quadrilateral ABCD is cyclic, angle A=2x, angle c=3x,then find angle A?

Answer 1

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Answer:
In cyclic quadrilateral the sum of opposite angles are supplementary I.e, 180°
A + C = B + D = 180°.

Given Data :
A = 2x
C = 3x

Step-by-step explanation:
Then ,
=> 2x + 3x =180°
=> 5x = 180°
=> x = 36°

Then from given data angle A = 2x = 2*36° =72°

Hence, angle A measures 72°








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Answer 2

In cyclic quadrilateral the sum of opposite angles are 180°
A + C = 180°.
=> 2x + 3x =180°
=> 5x = 180°
=> x = 36°