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In the diagram Pq TS TU reflex angle QPS 245o a... - WAEC Mathematics 2011 Question

In the diagram /Pq//TS//TU, reflex angle QPS = 245o angle PST = 115o, , STU = 65o and < RPS = x. Find the value of x
A
80o
B
70o
C
60o
D
50o
correct option: d
< QPR = < STU = 65o (Corresponding angles)

245 + < QPR = x = 360o (< s at a point)

i.e. 245 + 65 + x = 360

x = 360 - (245 + 65)

x = 360 - 310

x = 50o
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