91Ó°ÊÓ

The given diagram is:

From the given diagram it can be noticed that:

$∠AFB=90°$

The supplementary angles are the angles whose sum is $\mathbf{180}\mathbf{°}$.

The congruent angles are the angles which have same measure.

From the given diagram it can be noticed that the angles$BFE$ and$EFD$ forms the linear pair as they are lying on the straight line.

Therefore, the sum of the angles$BFE$ and$EFD$ is $180°$.

That implies $∠BFE+∠EFD=180°$.

Therefore, the angles$BFE$ and$EFD$ are the supplementary angles.

From the given diagram it can also be noticed that:

The angles$BFE$ and$EFD$ are not having same measure. Therefore, they are non- congruent angles.

The angles$BFE$ and$EFD$ are non-congruent angles but they are supplementary angles.

Therefore, the name of the two non-congruent supplementary angles is$∠BFE$ and $∠EFD$.