assume that lines that appear to be tangent are tangent. Point O is the center of the circle. Find the value of x. Figures are not drawn to scale.

Question

measure angle Upper P equals 28°
Center point O of a circle forms the vertex of triangle POQ. The angle at point O is labeled x degrees. Side QO is the radius of the circle.
(1 point)
Responses

68 degrees

62 degrees

64 degrees

66 degrees

Answer 1

To find the value of x, we can use the property that the angle at the center of a circle is double the angle at the circumference when they both subtend the same arc.

Since angle Upper P is 28°, the angle at the center (angle POQ) would be 2*28° = 56°.

Therefore, x = 180° - 56° = 124°

So, the value of x is 124 degrees.