Answer :
The measure of the angle BPC is 100 degrees
How to determine the value
It is important to assume that P is the center of the circle:
Then, we can say that the angle BPC encompasses arc BC.
Note that the angle CEB also encompasses this arc and the measure of angle CEB is given as 50 degrees .
The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle.
Therefore, the measure of arc BPC is equal to;
2 (50 )
expand the bracket
100 degrees
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Answer:
[tex]\angle BPC=100^{\circ}[/tex]
Step-by-step explanation:
Assuming P is the center of the circle:
The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]
