In the diagram, NQ//TS, ∠RTS = 50° and ∠PRT = 100°. Find the value of...
MATHEMATICS
WAEC 2017
In the diagram, NQ//TS, ∠RTS = 50° and ∠PRT = 100°. Find the value of ∠NPR
- A. 110°
- B. 130°
- C. 140°
- D. 150°
Correct Answer: B. 130°
Explanation
< 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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