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In the diagram NQ TS lt RTS 50 o and lt PRT 100... - WAEC Mathematics 2017 Question

In the diagram, NQ//TS, <RTS = 50\(^o\) and <PRT = 100\(^o\). Find the value of <NPR

A
110\(^o\)
B
130\(^o\)
C
140\(^o\)
D
150\(^o\)
correct option: b

< TSR = 180 - (80 + 50)

= 180 - (130)

= 50\(^o\)

< QPR = < TSR corresponding < s

< NPR + QPR = < NPR

180\(^o\) - < QPR = < NPR

180\(^o\) - 50 = < NPR

< NPR = 130\(^o\)

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