Question

Find the value of z.
1. 24° and 2. (3z)°
z = [?]°

Answer 1

To find the value of \( z \), we need to establish the relationship between the two angles you provided: \( 24^\circ \) and \( (3z)^\circ \). However, there's no equation or context given indicating how they relate to each other (e.g., are they supplementary, complementary, or equal?).

Here are a few scenarios:

1. **If they are equal**:
\[
3z = 24
\]
\[
z = \frac{24}{3} = 8
\]

2. **If they are supplementary** (add up to \( 180^\circ \)):
\[
24 + 3z = 180
\]
\[
3z = 180 - 24
\]
\[
3z = 156
\]
\[
z = \frac{156}{3} = 52
\]

3. **If they are complementary** (add up to \( 90^\circ \)):
\[
24 + 3z = 90
\]
\[
3z = 90 - 24
\]
\[
3z = 66
\]
\[
z = \frac{66}{3} = 22
\]

Please specify how the angles are related in order to determine the correct value of \( z \).