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Two circles touch externally at P. QR is a common tangent of the circles touching the circles at Q and R. Then measure of ∠QPR is
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- 60°
- 30°
- 90°
- 45°
- 60°
Correct Option: C
As per the given in question , we draw a figure of two circles touch externally at P and QR is a common tangent of the circles touching the circles at Q and R , 
OQ = OP = OR
(Tangents drawn from the same external point)
∴ ∠ QPO = ∠ PQO = ∠ OPR
= ∠ PRO = 45° because ∠ POQ
= ∠ POR = 90°
∴ ∠ QPR = 45° + 45° = 90°
