TP and TQ are two tangents drawn from an external point T to a circle

1.	TP and TQ are two tangents drawn from an external point T to a circle with the center O are such that anglePOQ =120°, then find the value of angle OTP is equal to
Answer» Answer: 60 degree Step-by-step explanation: by angle sum property of quadrilateral: ∠P+∠Q+∠T+∠O=360° 90°+90°+∠T+120=360° 300°+ ∠T +360° ∠T +360°-300° ∠T =60 °

TP and TQ are two tangents drawn from an external point T to a circle with the center O are such that anglePOQ =120°, then find the value of angle OTP is equal to

Answer»

Answer: 60 degree

Step-by-step explanation:

by angle sum property of quadrilateral:

∠P+∠Q+∠T+∠O=360°

90°+90°+∠T+120=360°

300°+ ∠T +360°

∠T +360°-300°

∠T =60 °