Assume that lines that appear to be tangent are tangent. Point O is the center of the circle. Find the value of x if the m<P = 28

Answer 1

Since angle P is an inscribed angle and angle POQ is a central angle, we have:

m angle POQ = 2 * m angle P
m angle POQ = 2 * 28 = 56

Since angle POQ is an inscribed angle and angle PSQ is a central angle, we have:

m angle PSQ = 2 * m angle MQS
m angle PSQ = 2 * x = 2x

Thus, we have:

2x = 56
x = 56 / 2
x = 28

Therefore, the value of x is 28.