QUESTION IMAGE
Question
what is the value of b? 14b - 32° 41° 15b b =
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 $b = 9$.
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$9$