Question

solve for the value of d. (6d + 8)° (8d + 4)°

Explanation:

Step1: Set up equation

Since vertical - adjacent complementary angles sum to 90 degrees, we have the equation $(6d + 8)+(8d+4)=90$.

Step2: Combine like - terms

Combine the terms with $d$ and the constant terms: $6d+8d + 8 + 4=90$, which simplifies to $14d+12 = 90$.

Step3: Isolate the term with $d$

Subtract 12 from both sides of the equation: $14d=90 - 12$, so $14d=78$.

Step4: Solve for $d$

Divide both sides by 14: $d=\frac{78}{14}=\frac{39}{7}\approx5.57$.

Answer:

$d = \frac{39}{7}$