To find the value of x in the context of the circle where ∠XYZ measures 72°, we typically need to apply some properties of circles and angles.
If ∠XYZ is an inscribed angle, it measures half of the arc that it subtends. Thus, if we assume that angle XYZ subtends arc XY, then we can set up the equation:
Arc XY = 2 * ∠XYZ = 2 * 72° = 144°.
Next, if x represents the measure of another angle related to this arc, we can use the relationship between angles and arcs in the circle to find its value. Depending on the context (whether x is an angle at the center or another inscribed angle), you could use the properties of angles within a circle. For example, if it is an inscribed angle subtending the same arc, the value of x would also be 72°.
In summary, without additional context, assuming x is related directly to angle XYZ and follows the properties stated, x could potentially be 72° if it shares the same inscribed properties. Always remember to check the relationships between the angles and the arcs they relate to for accurate calculations.