To solve the problem, let's clarify the terms and notation:
1. \(mBC\): This notation typically means the measure of angle \(BC\) (possibly an arc). You've stated that \(mBC = 68^\circ\).
2. \(mBCP\): This seems to be seeking the measure of angle \(BCP\). In the context of a circle, without more information, it's hard to be precise, but let's assume this refers to an angle or another measure that can be derived.
Given that \(mBC\) is an arc measure of \(68^\circ\):
- An inscribed angle that intercepts the same arc is half the arc measure, meaning an inscribed angle intercepting arc \(BC\) would be \(34^\circ\).
- A central angle intercepting arc \(BC\) would be equal to the arc, \(68^\circ\).
Don't jump to conclusions yet; we can't be certain without knowing what exactly \(BCP\) refers to. However, common multiple-choice questions about angles usually involve these considerations.
Since the measures given in your question options include 136, 34, 31, and 41, the closest relationship to the given arc measure of \(68\) is exactly half (34 degrees). This reflects the inscribed angle intercepting \(BC\).
Therefore, assuming \(mBCP\) denotes the inscribed angle intercepting the same arc:
**Answer:** \(34^\circ\).
in the circle, mBC= 68. The diagram is not allowed drawn to scale.
What is mBCP? (1 Point)
136
34
31
41
1 answer