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B and c are supplementary. The measure of b is 83 more than the measure of c. Find the measure of each angle

Sagot :

Dead3ill

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°

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