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Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ ROP? 
41
67
113
139
Can someone please explain to me how to do this?

Quadrilateral OPQR is inscribed in circle N as shown below What is the measure of ROP 41 67 113 139Can someone please explain to me how to do this class=

Respuesta :

W0lf93
We should know that the sum of the interior angles or an irregular polygon must be equal to 360°. For examples, the case of a square: 90° +90°+90°+90°=360°. So in our case, the sum of the angles is Sum=360°= (x+17)°+(2x+9)°+ (6x-5)° + meas OPQ, it implies measOPQ=360°-(x+17)° - (2x+9)° - (6x-5)° =360°-9x -31°=(329-9x)°