Question

Point X is the in-center of triangle ABC. If X=4Z+1, X=2Z+7, and the measure of angle ABC is 44 degrees, find the following measures.

a) Z=6
b) Z=5
c) Z=4
d) Z=3

Answer 1

To find Z, equate the two expressions for X provided and solve for Z. The measure of angle ABC does not play a direct role in these calculations.

Step-by-step explanation:

The question seems to revolve around solving equations to find the value of Z, given that point X is the in-center of triangle ABC with the given equations X=4Z+1 and X=2Z+7, and the measure of angle ABC is 44 degrees. However, since the equations do not relate directly to the measure of angle ABC, there appears to be a discrepancy in the provided information. To solve for Z, we would typically equate the two expressions for X and solve the resulting equation, but there's no direct application of the angle measure. Regardless, setting the equations equal to each other gives 4Z+1=2Z+7 leading to 2Z=6 and consequently Z=3.