Question

question solve for the value of d. answer attempt 2 out of 100

Explanation:

Step1: Set up the equation

Since the two angles $(6d + 8)^{\circ}$ and $(8d+4)^{\circ}$ are supplementary (sum to 180 degrees), we have the equation $6d + 8+8d + 4=180$.

Step2: Combine like - terms

Combining the terms with $d$ and the constant terms, we get $(6d+8d)+(8 + 4)=180$, which simplifies to $14d+12 = 180$.

Step3: Isolate the term with $d$

Subtract 12 from both sides of the equation: $14d+12-12=180 - 12$, resulting in $14d=168$.

Step4: Solve for $d$

Divide both sides of the equation by 14: $\frac{14d}{14}=\frac{168}{14}$, so $d = 12$.

Answer:

$12$