JAMB - Mathematics (1998 - No. 42)

In diagram, PQ || ST and < PQR = 120º, < RST = 130º, find the angle marked x

50
65
70
80

Explanation

Produce line PQ  to meet line RS at U

< RQU = 180º - 120º = 60º (

In angle QRU: < QPT + RQU = < RUV ( 2 interior angles = one exterior angle)

x + 60º = 130º and x = 70º

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