Question

PLEASE HELP IMMEDIATELY!​

Answer 1

Answer:

∠ TUW = ∠ SVW Proved.

Step-by-step explanation:

See the diagram.

It is given that, ∠ VSW = ∠ WTU and SV ║ TU.

We have to prove that ∠ TUW = ∠ SVW

Statement 1. ∠ VSW = ∠ WTU and SV ║ TU.

Reason 1. It is given

Statement 2. ∠ VSW = ∠ TUW

Reason 2. They are alternate angles because SV ║ TU and SU is a transverse line.

Statement 3. ∠ WTU = ∠ SVW

Reason 3. They are alternate angles because SV ║ TU and VT is a transverse line.

Statement 4. ∠ VSW = ∠ SVW

Reason 4. Since ∠ TUW = ∠ SVW and ∠ VSW = ∠ TUW

Statement 5. ∠ TUW = ∠ SVW

Reason 5. Since ∠ VSW = ∠ TUW and ∠ VSW = ∠ SVW

(Answer)