Respuesta :

m ∠ACB = 28

Step-by-step explanation:

In any circle, an inscribed angle measure is exactly the half of the central angle measure with the same arc that is intercepted.

Here the angle AOB is the central angle measure then the measure of the angle ACB is half of the angle AOB.

m<ACB = [tex]$\frac{1}{2}[/tex] × m<AOB

            = [tex]$\frac{1}{2} \times 56[/tex]

           = 28

So the measure of angle ACB is 28 degrees.

The measure of angle will be equal to m ∠ACB = 28

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In any circle, an inscribed angle measure is exactly the half of the central angle measure with the same arc that is intercepted.

Here the angle AOB is the central angle measure then the measure of the angle ACB is half of the angle AOB.

m∠ACB = ( 1/2 ) × m∠AOB

m∠ACB  = ( 1/2 ) x  56

m∠ACB  = 28

So the measure of angle ACB is 28 degrees.

To know more about an angle follow

https://brainly.com/question/25770607

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