Question

Line a and line b are intersecting lines. Use angle relationships shown in the diagram to find the value of d.
Solve on paper. Then, enter your answer on Zearn.
b
a
24ºdºdº
d =

Answer 1

To find the value of \( d \) given that line a and line b are intersecting lines and the angles formed are related:

1. **Identify the angles**: You have an angle measuring \( 24^\circ \) and three angles measuring \( d^\circ \).
2. **Use angle relationships at the intersection of two lines**:
- The sum of the angles around a point is \( 360^\circ \).
- The angles opposite each other (vertical angles) are equal.
- The angles adjacent to each other on the same line add up to \( 180^\circ \).

Assuming that the configuration you have is something like this:

```
a
|
24 |
| d
--------------
| d
| d
b
```

The sum of the angles around the intersection point can be expressed mathematically as follows (if we consider angles to be added around point of intersection and combinations of adjacent angles):

- Since one angle is \( 24^\circ \) and there are three angles measuring \( d^\circ \), the equation based on the fact that they are co-interior angles is:

\[
24 + d + d + d = 360
\]

Thus,

\[
24 + 3d = 360
\]

3. **Solve for \( d \)**:
\[
3d = 360 - 24
\]
\[
3d = 336
\]
\[
d = \frac{336}{3}
\]
\[
d = 112
\]

So the value of \( d \) is \( 112^\circ \). You can enter this value in Zearn.

**Final answer**:
\[
d = 112
\]