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ludmilkaskok [199]
1 year ago
6

Given: m∠ATB = 63°, arc AB = 115° Find: arc DC

Mathematics
1 answer:
Flura [38]1 year ago
6 0

Answer:

The measure of arc DC is 11\°

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.

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

substitute the given values

63\°=\frac{1}{2}[115\°+arc\ DC]

126\°=[115\°+arc\ DC]

arc\ DC=126\°-115\°=11\°

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