Final answer:
The value of x in the equation 15x-23 = 60, representing an angle in an equilateral triangle, is approximately 5.53.
Step-by-step explanation:
An equilateral triangle has three equal angles.
Since we know one of the angles is represented by the expression 15x-23,
we can set this equal to 60 degrees (since all three angles in an equilateral triangle are 60 degrees).
15x-23 = 60
Now, we can solve the equation for x:
15x = 83
x ≈ 5.53 (rounded to the nearest hundredth)