Question

in the adjoining figure find the value of x​

Answer 1

Answer:

∠X = 50°

Step-by-step explanation:

In the figure, ∠P = 90° (Angle in a semicircle)

∠A + ∠P + ∠ABP = 180° (Angle sum property of triangle)

50° + 90° + ∠ABP = 180°

∠ABP = 180° - 140° = 40°

Now, ∠ABR = 90° (Radius is ⊥ to tangent at point of contact)

∠x = ∠ABR - ∠ABP

∠x = 90° - 40°

∠x = 50°