JAMB - Mathematics (1985 - No. 45)
In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct
\(\theta\)o + \(\phi\)o = 902
\(\phi\)o = 902 - 2\(\theta\)o
\(\theta\)o = \(\phi\)o
\(\phi\)o = 2\(\theta\)o
\(\theta\)o + 2\(\phi\)o
Explanation
180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)
180 = 2\(\phi\) + \(\theta\)o
180 = 2\(\phi\) + \(\theta\)o
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