Final answer:
To find the value of x and the measure of each side in triangle AXYZ, set up an equation using the given information and solve for x. Substitute the value of x back into the other equations to find the measures of each side.
Step-by-step explanation:
To find the value of x and the measure of each side in triangle AXYZ, we need to use the information given to set up an equation and solve for x. Given that ZX=ZZ, which means they are equal, we can write:
x + 4 = 8x - 6
By simplifying and solving for x, we find x = 2. Substituting this value back into the other equations, we can find the measures of each side: XY = 13(2)-21 = 5, YZ = 8(2)-6 = 10, and XZ = 2 + 4 = 6. Therefore, the values of x and the measures of each side are x = 2, XY = 5, YZ = 10, and XZ = 6.
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