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what is the value of b? 14b - 32° 41° 15b b =

Question

what is the value of b? 14b - 32° 41° 15b b =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $15b=(14b - 32)+41$.

Step2: Simplify the equation

First, expand the right - hand side: $15b=14b - 32 + 41$. Then combine like terms: $15b=14b+9$.

Step3: Solve for b

Subtract $14b$ from both sides of the equation: $15b-14b=14b + 9-14b$. This gives $b = 9$.

Answer:

$9$