Answer: The measure of angle CAE = 120°.
Step-by-step explanation:
Since we have given that
In a circle a, m∠CFE = 240°
We need to find the angle i.e.m∠ CAE .
As we know the theorem, that the measure of its intercepted arc is double the measure of an inscribed angle.
Here, in our case, the measure of an inscribed angle is m∠CFE = 240°.
So, the measure of its intercepted arc i.e. m∠ CAE is given by
[tex]\frac{1}{2}\times 240^\circ\\\\=120^\circ[/tex]
Hence, the measure of angle CAE = 120°.
