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 ?
1 answer:
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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