Question

In the given figure, ∠BPT=50°. What is the measure of ∠OPB?

Answer 1

Answer:

PT is tangent to circle and OP is radius

⇒ ∠OPT = 90° …radius is perpendicular to tangent

From figure

⇒ ∠OPT = ∠OPB + ∠BPT

⇒ 90° = ∠OPB + 50° …∠BPT is 50° given

⇒ ∠OPB = 40°

Hence ∠OPB is 40°

Answer 2

Answer:

40°

Step-by-step explanation:

On applying the theorem of circles here,

we find a 90°

So, The sum of 2 complementary angles are 90°

Therefore angle OPB is 40°