-O- is the centre of the circle- SP and TP are the two tangents at S and T respectively- - SPT is 50- the value of - SQT isA- none of the aboveB- 125-C- 65-D- 115-

The correct option is D 115^∘∠ SPT and ∠ SOT are supplementary, then ∠ SOT = 180^∘ 50^∘ = 130 ∴ ∠ SRT = 1/2(∠ SOT)=65^∘ ∴ ∠ SQT = 180 65^∘ = 115^∘ ...

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Circles

'O' is the ce...

Question

In the given figure, 'O' is the centre of the circle. SP and TP are the two tangents at S and T respectively. $∠ S P T$ is $50^{\circ}$ , the value of $∠ S Q T$ is

125^{\circ}

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65^{\circ}

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115^{\circ}

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none of the above

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Solution

The correct option is C $115^{\circ}$
$∠ S P T$ and $∠ S O T$ are supplementary, then
$∠ S O T = 180^{\circ} - 50^{\circ} = 130 ∴ ∠ S R T = \frac{1}{2} (∠ S O T) = 65^{\circ} ∴ ∠ S Q T = 180 - 65^{\circ} = 115^{\circ}$

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In the given figure 'O' is the center of the circle. SP and TP are the two tangents at S and T respectively. $∠ S P T$ is $50^{\circ}$ , the value of $∠ S Q T$ is:

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In the given figure, 'O' is the centre of the circle. SP and TP are the two tangents at S and T respectively. ∠SPT is 50∘, the value of ∠SQT is

The correct option is C 115∘∠SPT and ∠SOT are supplementary, then ∠SOT=180∘−50∘=130∴ ∠SRT=12(∠SOT)=65∘∴ ∠SQT=180−65∘=115∘

In the given figure, 'O' is the centre of the circle. SP and TP are the two tangents at S and T respectively. $∠ S P T$ is $50^{\circ}$ , the value of $∠ S Q T$ is

The correct option is C $115^{\circ}$
$∠ S P T$ and $∠ S O T$ are supplementary, then
$∠ S O T = 180^{\circ} - 50^{\circ} = 130 ∴ ∠ S R T = \frac{1}{2} (∠ S O T) = 65^{\circ} ∴ ∠ S Q T = 180 - 65^{\circ} = 115^{\circ}$