Question

In circle a, arc mCFE is 240 degrees what is the measure of angle CAE

Answer 1

120 because its a circle and 360-240 =120

Answer 2

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

$\frac{1}{2}\times 240^\circ\\\\=120^\circ$

Hence, the measure of angle CAE = 120°.