Answer:
C = 48.5° ; B = 131.5°
Step-by-step explanation:
When any two angles are supplementary , it means that their sum is equal to 180°.
It's given in the question that B is 83 more than C . So,
[tex]B = C + 83[/tex]
Also it's given in the question that B & C are supplementary angles.
[tex]=> B + C = 180[/tex]
[tex]=> C + 83 + C = 180[/tex]
[tex]=> 2C = 180 - 83 = 97[/tex]
[tex]=> C = \frac{97}{2} = 48.5[/tex]
Hence,
[tex]B = 83 + 48.5 = 131.5[/tex]
∴ C = 48.5° ; B = 131.5°
