Question

Fill in the blanks:- given a circle with centre O, PT and PR are the tangents to the circle meeting the circle at T and R respectively. if the angle between the tangents is 35degree, then the angle between the radii OT and OR is....................​

Answer 1

Answer:

Hu yr olds are doing well I hope

Answer 2

The angle between the radii OT and OR is 145°.

Step-by-step explanation:

See the attached diagram.

As PT and PR are the tangents to the circle with center at O, so ∠ OTP and ∠ ORP are both 90°.

Now, if we consider the quadrilateral OTPR, then

∠ O + ∠ T + ∠ P + ∠ R = 360°

⇒ ∠ O + 90° + 35° + 90° = 360°

{Since, the angle ∠ TPR is given to be 35°}

⇒ ∠ O = 360° - 215°

⇒ ∠ TOR = 145°

Therefore, the angle between the radii OT and OR is 145°. (Answer)