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In the given circle, tangent AB and secant CD intersect at point E as shown. What is the value represented by x? A. 70 B. 220 C. 110 D. 140

In the given circle tangent AB and secant CD intersect at point E as shown What is the value represented by x A 70 B 220 C 110 D 140 class=

Respuesta :

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

What is the Relationship Between Measure of Inscribed Angle and Intercepted Arc?

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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