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QUESTION IMAGE

solve for the value of n. answer attempt 1 out of 2 n =

Question

solve for the value of n.
answer
attempt 1 out of 2
n =

Explanation:

Step1: Set up the equation

The sum of the angles is \(180^{\circ}\) (straight - line angle). So, \((2n + 7)+90+(3n + 3)=180\).

Step2: Simplify the left - hand side

Combine like terms: \((2n+3n)+(7 + 3+90)=180\), which gives \(5n+100 = 180\).

Step3: Solve for \(n\)

Subtract \(100\) from both sides: \(5n=180 - 100\), so \(5n=80\). Then divide both sides by \(5\): \(n=\frac{80}{5}\).

Answer:

\(n = 16\)