Question

The angle of a cyclic quadrilateral are A=(2x+4),B=(y+3),c=(2y+10),D=(4x-5);find x and y and the value of the four angles.

Answer 1

in a cyclic quadrilateral sum of opposite angles are supplementary.  therefore  ∠A + ∠C = 180 and ∠B +∠ D = 180      subtracting eq(2) by eq(1):    put x = 33 in eq(1):    thus ∠A = 2*33+4 = 66+4 =70 ; ∠B = 50+3 = 53;  ∠C = 2*50+10 = 110 ; ∠D = 4*33-5 = 132-5 = 127  hope this helps you.  cheers!!

Answer 2

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