6. □ABCD is a cyclic quadrilateral,mLA=(4x +25°andmLC_ (5x+20)。.F – InterviewSolution

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1.	6. □ABCD is a cyclic quadrilateral,mLA=(4x +25°andmLC_ (5x+20)。.Find the value of x and mLC.(1) 15: 75° (2) 15: 80° (3) 15: 85° () 15; 95°
Answer» Opposite angle in cyclic have sum 180°So,angle A + angle C = 180°4x + 25 + 5x + 20 = 180°9x + 45 = 180°9x = 180° - 45°9x = 135°x = 135°/ 9x = 15°So, angle C = 5x + 20 = 75 + 20 = 95°(4) option is correct

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