Answer:
180°.
Step-by-step explanation:
The statement that is false concerning the circle is:
m\overarcCAF = 180°
Here's why the other statements are most likely true:
\overarcCD > \overarcAB: This cannot be determined for sure without additional information about the placement of arcs CD and AB. They could have different lengths depending on their positions on the circle.
m/DCF = 1/2(mFD): This is likely true if CD is a diameter of the circle. When a diameter divides a circle into two halves, the central angle FDC intercepts an arc that is half the circumference. This would make angle DCF half the measure of angle FDC.
m/CDF = 90°: This cannot be determined for sure without information about the placement of arcs or line segments. We don't know the relationship between CD and the center of the circle (O).
Explanation for why m\overarcCAF cannot be 180°:
A central angle cannot have a measure of 180°. Central angles measure the angle formed at the center of the circle by two radii. The maximum angle a central angle can have is 180° only when it forms a straight line, effectively dividing the circle in half. In that case, the arc it intercepts would be a semicircle, not something like CAF.
In conclusion, the false statement is m\overarcCAF = 180°.
