2 years ago

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

Mathematics

1 answer:

Flura [38]2 years 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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