Question

solve for the value of n.
(6n+5)°
(4n-5)°
answer attempt 1 out of 2
n =
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Explanation:

Step1: Identify angle relationship

The angles \( (6n + 5)^\circ \), \( 90^\circ \) (right angle), and \( (4n - 5)^\circ \) are supplementary (they form a straight line, so their sum is \( 180^\circ \)). So, we set up the equation:
\( (6n + 5) + 90 + (4n - 5) = 180 \)

Step2: Simplify the equation

Combine like terms:
\( 6n + 4n + 5 - 5 + 90 = 180 \)
\( 10n + 90 = 180 \)

Step3: Solve for \( n \)

Subtract \( 90 \) from both sides:
\( 10n = 180 - 90 \)
\( 10n = 90 \)

Divide both sides by \( 10 \):
\( n = \frac{90}{10} \)
\( n = 9 \)

Answer:

\( n = 9 \)