Question

Angle aec is inscribed in circle

d. angle abc circumscribes circle
d. which equation about the relationships in the circle is true?
a. 1/2 m angle adc = m angle aec
b. 1/2 m angle abc = m angle adc
c. 1/2 m angle adc = m angle abc
d. 1/2 m angle abc = m angle aec

Answer 1

In GeoGebra, m∠EAD = 120°. Both m∠ADC and m∠AEC are 90° because the tangent to a circle is perpendicular to the radius drawn from the point where the tangent touches the circl

Explanation:

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Answer 2

Given:

Angle AEC is inscribed in a circle
Angle ABC circumscribes the same circle

The equation about the relationships in the circle is:

1/2 mABC = mADC

since the angle outside the circle is one-half the measure of the angle inside the circle.