Final answer:
To find the measure of angle KTW, we can use the fact that the sum of angles in a triangle is 180°. Therefore, m∠KTW = 180° - m∠OTW - m∠OTK. Substituting the given values, m∠KTW = 180° - 70° - 15° = 95°. However, there might be a mistake in the given problem as the information provided leads to an angle greater than 90°, which is not possible in a Euclidean triangle. The correct measure of angle KTW cannot be determined with the given information.
Step-by-step explanation:
In a triangle, the sum of its interior angles is always 180°. To find the measure of angle KTW, we can use this property. Given that m∠OTW = 70° and m∠OTK = 15°, the angle KTW can be calculated by subtracting the sum of the two known angles from 180°. The formula to find the unknown angle is m∠KTW = 180° - m∠OTW - m∠OTK = 180° - 70° - 15° = 95°. However, this result contradicts the properties of Euclidean geometry, as angles in a triangle cannot exceed 180°. Therefore, the value of 95° for angle KTW in this context is not possible within the rules of Euclidean geometry, indicating a potential error in the information given.
It's important to note that the measure of angles in a triangle cannot exceed 180°. If the given information leads to a value greater than 90° for the angle KTW, it might indicate an issue with the problem statement or incorrect angle measures provided. In Euclidean geometry, triangles are defined by the sum of their interior angles being exactly 180°, and a single angle cannot be greater than 90° within a Euclidean triangle. Hence, the correct measure of angle KTW cannot be determined with the given information as it yields a value greater than 90°.