https://file.aiquickdraw.com/mathbot/file/1726856037827lcr4irv5.jpg

In the image, we have two angles that form a straight line, which means they are supplementary. Supplementary angles sum up to \(180^\circ\).

The angles given are:
\[
(8d + 4)^\circ \quad \text{and} \quad (6d + 8)^\circ.
\]

Since these angles form a straight line, we can set up the equation:
\[
(8d + 4) + (6d + 8) = 180.
\]

Now, let's solve for \(d\):

1. Combine like terms:
\[
8d + 6d + 4 + 8 = 180.
\]
\[
14d + 12 = 180.
\]

2. Subtract 12 from both sides:
\[
14d = 180 - 12.
\]
\[
14d = 168.
\]

3. Divide both sides by 14:
\[
d = \frac{168}{14}.
\]
\[
d = 12.
\]

Thus, the value of \(d\) is \(12\).

Would you like a detailed explanation of any step?

Here are some related questions you might consider:
1. What is the measure of each angle when \(d = 12\)?
2. How do you verify if two angles are supplementary?
3. What is the general formula for supplementary angles?
4. Can angles that sum to \(180^\circ\) always be supplementary?
5. How can you apply this concept to angles in geometric shapes?

**Tip**: When dealing with linear angles, remember that the sum will always be \(180^\circ\), which helps in setting up the equation.

Solve for the value of d based on the given angles: (8d + 4)° and (6d + 8)° forming a straight line.

Learn how to solve for the variable d in a problem involving supplementary angles. The angles (8d + 4)° and (6d + 8)° form a straight line, and their sum is 180°. This problem introduces key concepts in algebra and geometry, suitable for students in Grades 7-9.

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