Find the value of x in this figure?
2 answers:
Answer:
Option A.
Step-by-step explanation:
We know that radius of a circle is perpendicular to its tangent at the point of tangency.

According to the angle sum property, the sum of interior angles of a triangle is 180 degrees.
Using angle sum property we get





The value of x is 47.
Hence, the correct option is A.
Assuming PQ is tangent to the circle, ∠OQP = 90°
90 + 43 + x = 180° (Sum of all angles in a triangle is 180)
x = 180 - 90 - 43 = 47°
Answer: x = 47°
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