Given R=(5x – 13)°, N=(4x+4)°
Opposite angles of a cyclic quadrilateral are supplementary.
R+N = 180˚
5x -13+4x+4 = 180
9x-9 = 180
9x = 189
x = 189/9
x = 21
R = 5x-13
= 5×21-13
= 92˚
N=(4x+4)°
N = 4×21+4
= 84+4
= 88
N = 88˚
Hence the measure of R = 92˚ and N = 88˚.
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