Final answer:
When calculating the value of x based on the given angle measurements in a straight line or triangle scenario, none of the provided answer choices (A-D) match the correct value of x, which should equal 23.86°.
Step-by-step explanation:
To solve for x when given the measurements of angles VWX, XVW, and WXY as functions of x, we need to consider the sum of angles within a triangle or a straight line. If angles VWX, XVW, and WXY are part of a triangle, their sum should be 180°. If they form a straight line, their sum should also be 180°. Assuming they form a straight line:
- m∠VWX + m∠XVW + m∠WXY = 180°
- (x+14)° + (x+9)° + (5x-10)° = 180°
- 7x + 13° = 180°
- 7x = 180° - 13°
- 7x = 167°
- x = 167° / 7
x = 23.86°, which is not one of the choices provided.
If there's a different context, like a polygon or if one of the angles is exterior, then the problem may need additional information. However, with the given data, none of the options (A-D) are correct.