Question

tangents drawn to the circle with centre at
In Figure-1, TP and TQ are tangents draw
If 2 POQ = 115° then 2 PTQ is
(A) 115°
(B) 57-5°
(C) 55°
(D) 65°
115
Figure-1​

Answer 1

Answer:d)65°

Step-by-step explanation:

Answer 2

The value of 2 ∠ PTQ = 57.5°

Step-by-step explanation:

⇒ 2 ∠ POQ = 115°

⇒ ∠ POQ =  $\frac{115}{2}$ = 57.5° --------- (1)

We know that

⇒ ∠ PTQ = $\frac{1}{2}$ × ∠ POQ

⇒ ∠ PTQ = $\frac{1}{2}$ × 57.5°

⇒ 2 ∠ PTQ = 57.5°

This is the value of required angle.

Thus option B is correct.