Maths-

General

Easy

Question

# In the figure if TP and TQ are the two tangents to a circle with centre O so that ÐPOQ = 110º, then ÐPTQ is equal to

## The correct answer is:

### We should find the angle from the given figure

In the above figure, OPTQ is a quadrilateral and ∠P and ∠Q are 90°

The sum of the interior angles of a quadrilateral is 360°.

Therefore, in OPTQ,

∠Q + ∠P + ∠POQ + ∠PTQ = 360°

90° + 90° + 110° + ∠PTQ = 360°

290° + ∠PTQ = 360°

∠PTQ = 360° - 290°

∠PTQ = 70°

Hence ∠PTQ = 70°

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