Question

solve for the value of w.
(4w-8)°
(3w+6)°
answer attempt 1 out of 3
w =
submit answer

Explanation:

Step1: Identify angle relationship

The two angles \((4w - 8)^\circ\) and \((3w + 6)^\circ\) are adjacent and form a linear pair, so their sum is \(180^\circ\). So we write the equation: \((4w - 8)+(3w + 6)=180\).

Step2: Simplify the equation

Combine like terms: \(4w+3w - 8 + 6 = 180\), which simplifies to \(7w-2 = 180\).

Step3: Solve for \(w\)

Add 2 to both sides: \(7w=180 + 2=182\). Then divide both sides by 7: \(w=\frac{182}{7}=26\).

Answer:

\(26\)