QUESTION IMAGE
Question
solve for the value of n.
(6n+5)°
(4n-5)°
answer attempt 1 out of 2
n =
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Step1: Identify angle sum
The three angles (6n+5)°, 90°, and (4n-5)° form a straight line, so their sum is 180°.
So, \((6n + 5) + 90 + (4n - 5) = 180\).
Step2: Simplify the equation
Combine like terms: \(6n + 4n + 5 - 5 + 90 = 180\)
Simplifies to: \(10n + 90 = 180\).
Step3: Solve for n
Subtract 90 from both sides: \(10n = 180 - 90\)
\(10n = 90\)
Divide by 10: \(n = \frac{90}{10} = 9\).
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\(n = 9\)