Question

Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd page.

Answer 1

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Explanation:

The two column proof is presented as follows;

Statement
`{}` Reason

1. ∠SWT ≅ ∠TWU
`{}` Given

2. m∠SWT + m∠TWU = 180°
`{}` Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180°
`{}` Substitution

4. m∠SWT = 90°
`{}` Algebra

5.
`\underset{TV}{\leftrightarrow }`⊥
`\underset{SU}{\leftrightarrow }`
`{}` Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines
`\underset{TV}{\leftrightarrow }` and
`\underset{SU}{\leftrightarrow }` m∠SWT = 90°, therefore, the lines
`\underset{TV}{\leftrightarrow }` and
`\underset{SU}{\leftrightarrow }` are perpendicular to each other.