Question

in the given figure. find the value of reflex angle por ​

Answer 1

angle pqr=74°(because exterior angle of cyclic quadrilateral=opposite interior angle)

angle por=2×angle pqr(angle subtended at center is 2 times angle subtended at centre)

angle por=148°

Answer 2

∠POR = 148° ,

Step-by-step explanation:

∠PSR  +  74° = 180°  ( Straight line)

=> ∠PSR = 180° - 74°

=> ∠PSR = 106°

PQRS is cycilc quadrilateral

=> ∠PQR + ∠PSR = 180°   ( Sum of opposite angles of cycilc quadrilateral = 180°)

=>  ∠PQR + 106° = 180°  

=> ∠PQR = 74°

∠POR = 2 ∠PQR  ( angle subtended by Same chord at Center = 2 * angle subtended in same arc segment)

=> ∠POR = 2 * 74°

=> ∠POR = 148°

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