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In the figure, PQ is the tangent from P to the circle QRS wi...

$In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = $\theta$oand RQP = $\phi$o, which of the following relationships between $\theta$o and $\phi$o is correct$

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = $\theta$ ^oand 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

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Correct answer is E

180 - $\phi$ ^o = $\theta$ ^o + $\phi$ ^o (Sum of opposite interior angle equal to its exterior angle)

180 = 2 $\phi$ + $\theta$ ^o

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In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = θ\thetaoand RQP = ϕ\phio, which of the following relationships between θ\thetao and ϕ\phio is correct

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In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = $\theta$ ^oand RQP = $\phi$ ^o, which of the following relationships between $\theta$ ^o and $\phi$ ^o is correct