Respuesta :
If a central angle and an inscribed angle intersect the same arc, the central angle is twice the inscribed angle and half the central angle.
What is the relation between the central and inscribed angle on the same arc?
According to the inscribed angle theorem, an angle inscribed in a circle is half the central angle 2 that subtends the same arc on the circle.
The central angle has the same length as the intercepted arc. As can be seen, if a central angle and an inscribed angle intersect the same arc, the central angle is twice as large as the inscribed angles. Similarly, the inscribed angle equals half of the central angle.
An inscribed angle is one that has its vertex on a circle and its sides are chords. The intercepted arc is the arc that is contained within the inscribed angle and has its endpoints on the angle.
If a central angle and an inscribed angle intersect the same arc, the central angle is twice the inscribed angle and half the central angle.
To learn more about inscribed angles refer to:
https://brainly.com/question/13110384
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