Question

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

Answer 1

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,

$B = C + 83$

Also it's given in the question that B & C are supplementary angles.

$=> B + C = 180$

$=> C + 83 + C = 180$

$=> 2C = 180 - 83 = 97$

$=> C = \frac{97}{2} = 48.5$

Hence,

$B = 83 + 48.5 = 131.5$

∴ C = 48.5° ; B = 131.5°