Question

Determine the relationship between the measure of angle ADE and the measure of arc AE by circling one of the statements below.

Answer 1

Answer:

The answer c is correct.  

Step-by-step explanation:

When two chords share an endpoint, the inscribed angle has half of the measure of the intercepted arc.   In this example, ADE is the inscribed angle, so its measure is one half of the arc AE's measure. m<ADE= 1/2(mAE)

i hope this helped :)

Answer 2

The relationship between the measure of angle ADE and the measure of arc AE is  m∠ADE  = $\frac{1}{2}$ m (arc AE) .

What seems to be the relationship between an inscribed angle and its intercepted arc?

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent. This is called the Congruent Inscribed Angles Theorem

According to the question

The relationship between the measure of angle ADE and the measure of arc AE .

∠ADE  is a  inscribed angle

arc AE  is a  intercepted arc

According to Inscribed Angle Theorem

∠ADE  = $\frac{1}{2}$ arc AE

Hence, the relationship between the measure of angle ADE and the measure of arc AE is  m∠ADE  = $\frac{1}{2}$ m (arc AE) .

To know more about Inscribed Angle Theorem here :

https://brainly.com/question/23902018

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