1. Yes, the two triangles are similar
2. They are similar by AA similarity postulate
3. ∆ UTS is similar to ∆UDE
Similar triangles have equal corresponding angles and equal side ratios.
angle SUT = angle EUD( vertical angles)
angle D = angle T( alternate angles)
angle E = angle S ( alternate angles)
Therefore;
1. Yes, the two triangles are similar
2. They are similar by AA similarity postulate
3. ∆ UTS is similar to ∆UDE