Final answer:
To find the possible values of angle t (∠t), we need to use the properties of triangles and the angle sum property. By setting up an equation and solving for ∠t, we can determine its possible values.
Step-by-step explanation:
To find the possible values of angle t (∠t), we need to use the properties of triangles. In triangle tuv, we are given that t = 450 inches, v = 860 inches, and ∠v = 17°. Since the sum of angles in a triangle is 180°, we can find ∠t using the angle sum property of triangles.
Step 1: Find ∠u. ∠u = 180° - (∠t + ∠v). ∠u = 180° - (∠t + 17°).
Step 2: Set up an equation using the given information and solve for ∠t. ∠t + ∠u + ∠v = 180°. ∠t + (180° - (∠t + 17°)) + 17° = 180°. Simplify the equation and solve for ∠t.