JAMB - Mathematics (2006 - No. 29)

In the diagram above, find the value of x

55^o

50^o

45^o

40^o

y = 55 (alternate angles)
x = x (same reason)
260 + y + x = 360 (∠s at a point)
260 + 55 + x = 360
315 + x = 360
x = 360 - 315
x = 45^o