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:
-
If they are equal:
\[ 3z = 24 \] \[ z = \frac{24}{3} = 8 \] -
If they are supplementary (add up to \( 180^\circ \)):
\[ 24 + 3z = 180 \] \[ 3z = 180 - 24 \] \[ 3z = 156 \] \[ z = \frac{156}{3} = 52 \] -
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 \( z \).