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Find the value of x. A. 15 B. 28 C. 20 D. 40

Find the value of x. A. 15 B. 28 C. 20 D. 40-example-1
User Faho
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Answer:

A. 15

Explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Hence,

(2x + 15)° = 1/2[(10x + 20)° - 80°]

2(2x + 15)° = (10x - 60)°

4x + 30 = 10x - 60

60 + 30 = 10x - 4x

90 = 6x

90/6 = x

15 = x

x = 15

User Jjungnickel
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