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stira [4]
2 years ago
9

In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl

e A. If m Arc BC is 96°, what is m Arc CD ?

Mathematics
1 answer:
german2 years ago
5 0

Answer:

52°

Step-by-step explanation:

In the figure attached, Circle A is shown. There we can see that:

∠BC + ∠CD =  ∠BAD

We know that Arc BC measures 96° and arc BAD measures 148°. Replacing this data into the equation and solving for Arc CD, we get:

96° + ∠CD =  148°

∠CD = 148° - 96°

∠CD = 52°

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