Question

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

Answer 1

The answer is 52

Answer 2

52°

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°