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18 votes
18 votes
Solve for the value of b. (b+6) (3b)

User Fabianfett
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1 Answer

12 votes
12 votes

You have the following expressions for the two given angles:

(b + 6)°

(3b)°

In order to solve for b, you take into account that the two angles are complementary, that is, they add up 90°. Then, you sum the previous expressions and equal it to 90, just as follow:

(b + 6) + (3b) = 90

In order to solve for b the previous equation, you proceed as follow:

(b + 6) + (3b) = 90 eliminate parenthesis

b + 6 + 3b = 90 subtract 6 both sides

b + 3b = 90 - 6 simplify similar terms

4b = 84 divide by 4 both sides

b = 84/4

b = 21

Hence, the value of b is b = 21

User Bogdan Sahlean
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