3 years ago

Find the value of x - Secant and Tangent Angles in Circles

1 answer:

6 0

Answer:

C. 70°

Step-by-step explanation:

The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.

The external angle marked 20° is half the difference of the intercepted arcs, so is ...

20° = (1/2)(x - 30°)

40° = x - 30° . . . . . . multiply by 2

70° = x . . . . . . . . . . . add 30°

The value of x is 70°.

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