Respuesta :

calculista

Answer:

The measure of arc DC is [tex]11\°[/tex]

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]m\angle ATB=\frac{1}{2}[arc\ AB+arc\ DC][/tex]

substitute the given values

[tex]63\°=\frac{1}{2}[115\°+arc\ DC][/tex]

[tex]126\°=[115\°+arc\ DC][/tex]

[tex]arc\ DC=126\°-115\°=11\°[/tex]

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite. Then the arc DC will be 11°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

 ∠ATB = 1/2 [arc AB + arc DC]

     63° = 1/2 [115° + arc DC]

arc DC = 11°

More about the angled link is given below.

https://brainly.com/question/15767203

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