Question

What is the value of d? Assume that the line is tangent to the circle.

Answer 1

Answer:

121°

Step-by-step explanation:

• We have been given a chord and tangent to a circle, and also a minor arc measure that is equal to 118°

• We know that; An angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

Therefore; ∠ x = 1/2 mABC

• We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

Thus; 360° - 118° = 242°

Using the formula; ∠ x = 1/2 mABC

Then; d = 242/2

            = 121°