In diagram, PQ || ST and < PQR = 120o, < RST = 130o, find the angle marked x
- 50
- 65
-
70
- 80
The correct answer is: C
Explanation
Produce line PQ to meet line RS at U
<RUV = RST = 130º ( corresponding angles)
< RQU = 180º - 120º = 60º ( <s on a straight line)
In angle QRU: < QPT + RQU = < RUV ( 2 interior angles = one exterior angle)
x + 60º = 130º and x = 70º