Question

Complete the proof.

GIVEN: <2 = <3
PROVE: <1 =<4
Statements
1.<2=<3
2.<3=<4
3.<2 = <4
4.<1 = <2
5.<1 = <4

Reasons
1.?
2.?
3. ?
4. ?
5.?

Answer 1

To prove that <1 = <4, we can use the given statements and the properties of angles. Here's a step-by-step proof:

Statements

• <2 = <3 (Given)
• <3 = <4 (Given)

Reasons

• Given
• Given

Now, let's complete the proof:

• <2 = <4 (Transitive property, using statements 1 and 2)
• <1 = <2 (Given)
• <1 = <4 (Transitive property, using statements 3 and 4)

Therefore, we have proved that <1 = <4 using the given statements and the transitive property of angles.