Answer: 41 degrees
Step-by-step explanation: To determine the angle at which the pizza was cut, we need to use the formula for the area of a sector of a circle:
A = (θ/360)πr²
where A is the area of the sector, θ is the central angle of the sector (in degrees), π is a constant (approximately equal to 3.14), and r is the radius of the circle.
In this case, we know that the area of the sector that corresponds to the slice of pizza that was eaten is 17 square inches. We also know that the pizza has a diameter of 14 inches, which means that the radius is 7 inches.
Substituting these values into the formula, we get:
17 = (θ/360)π(7²)
17 = (θ/360)49π
θ/360 = 17/(49π)
θ = (17/49π) * 360
θ ≈ 41 degrees (rounded to the nearest whole number)
Therefore, the pizza was cut at an angle of approximately 41 degrees.