Question

solve for the value of d.
answer attempt 2 out of 2
d =

Explanation:

Step1: Set up the equation

Since the two angles are supplementary (they form a linear pair), their sum is \(180^{\circ}\). So, \((8d + 4)+(6d + 8)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(8d+6d+4 + 8=180\), which gives \(14d+12 = 180\).

Step3: Isolate the term with \(d\)

Subtract 12 from both sides: \(14d+12-12=180 - 12\), so \(14d=168\).

Step4: Solve for \(d\)

Divide both sides by 14: \(d=\frac{168}{14}\).

Answer:

\(d = 12\)