We will consider two angles as follows:
![<\text{ CFD > \& < DFE >}](https://img.qammunity.org/2023/formulas/mathematics/college/w9h97z7y9gylf54s766d1scx9ux5icqa25.png)
We are to determine the rays that have a common side to both < CFD > and < DFE >.
We will go ahead and make combination of pairs for each angle < F > common to both.
![CF\text{ , FD }](https://img.qammunity.org/2023/formulas/mathematics/college/7ouyakyfzb3oimsv0u0q0f8lf7j870nd47.png)
![&](https://img.qammunity.org/2023/formulas/mathematics/college/u3i93ckvaip2ngyr2hg7vutwmlfbeo6n5j.png)
![DF,\text{ FE}](https://img.qammunity.org/2023/formulas/mathematics/college/c66adeidr0bpe14ohslfm7shdvccafqvvt.png)
The common sides of the angle rays would contain similar letters! From the two combinations for each ray-angles we can see that the side:
![FD\text{ = DF}](https://img.qammunity.org/2023/formulas/mathematics/college/vdh3uuv0xypxfai3s9xwsj3w2aab51vvyt.png)
Hence, the ray common to both < CFD > and < DFE > is :
![\textcolor{#FF7968}{FD}](https://img.qammunity.org/2023/formulas/mathematics/college/cy8bfp35u0bmc1wb3x8cn8oytky4q71xs7.png)