Question

solve for the value of n.
(2n)°
(3n-5)°
answer
n =
submit answer

Explanation:

Step1: Set up the equation

Since the two angles \((2n)^{\circ}\) and \((3n - 5)^{\circ}\) are complementary (they form a right - angle, so their sum is \(90^{\circ}\)), we have the equation \(2n+(3n - 5)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2n+3n-5 = 90\), which simplifies to \(5n-5 = 90\).

Step3: Isolate the term with \(n\)

Add \(5\) to both sides of the equation: \(5n-5 + 5=90 + 5\), so \(5n=95\).

Step4: Solve for \(n\)

Divide both sides by \(5\): \(n=\frac{95}{5}\).

Answer:

\(n = 19\)