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WAEC - Mathematics (1989 - No. 36)

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

55o
40o
35o
25o
20o

Erläuterung

< PTQ = <TRQ = 35º

< QTR = 90º

So, < PTR = 35º + 90º = 125º

Therefore, ∠QPT = xº = 180º - 125º - 35º = 20º

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