Question

in a cyclic quadrilateral pqrs 5 angle Q = 7 angle S then find angle q​

Answer 1

Please see the attachment

Answer 2

in a cyclic quadrilateral, sum of opposite angles = 180°

angle Q + angle S =180° -----(1)

multiply the equation by 7

7(angleQ) + 7(angle S) = 180°×7 ----(2)

given= 5 angle Q = 7 angle S

substitute the given condition in equation 2

7 angle Q+ 5 angle Q = 1260°

12 angle Q = 1260°

angle Q = 1260°/12

angle Q = 105°

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