Question

solve for the value of w.
(7w-6)°
(8w+6)°
answer attempt 1 out of 2
w =
submit answer

Explanation:

Step1: Identify angle relationship

The two angles \((8w + 6)^\circ\) and \((7w - 6)^\circ\) form a right angle (since there's a right - angle symbol), so their sum is \(90^\circ\). So we can write the equation \((8w + 6)+(7w - 6)=90\).

Step2: Simplify the equation

Combine like terms: \(8w+7w + 6-6 = 90\). The \(+6\) and \(-6\) cancel out, and we get \(15w=90\).

Step3: Solve for \(w\)

Divide both sides of the equation \(15w = 90\) by \(15\). So \(w=\frac{90}{15}=6\).

Answer:

\(w = 6\)