JAMB - Mathematics (1993 - No. 46)

In the figure, PT is tangent to the circle at U and QU/RS if TUR = 35º and SRU = 50º find x

95^o

85^o

50^o

35^o

Since QRU= Xo

RSU = Xo, But RSU = 180o - (50o + 35o)

= 180o - 85o

= 95o

x = 95o