Question

A student was given the following diagram and

asked to prove that 21 22. What would be the
reason for the final step in the proof?
Given: Line A and line B are parallel.
Prove: 21 42
ہے
Statements
1. Line A and Line B are parallel
2. 2123
3. 22 23
4. Z1 Z2
B
Reasons
Given
Corresponding angles are congruent.
Vertical angles are congruent.

Answer 1

Substitution property of equality

Explanation:

Substitution property of equality.

Due to the prior steps, you have ∠2 = ∠3 and ∠1 = ∠3. The final step is to substitute the ∠3, which results in ∠1 = ∠2.