Question

Given: x ∥ y and w is a transversal

Prove: ∠3 ≅ ∠6



What is the missing reason in the proof?


Statement

Reason
1. x ∥ y
w is a transversal 1. given
2. ∠2 ≅ ∠3 2. def. of vert. ∠s
3. ∠2 ≅ ∠6 3. def. of corr. ∠s
4. ∠3 ≅ ∠6 4.
transitive property
symmetric property
vertical angles are congruent
definition of supplementary angles

Answer 1

a

Explanation:

Answer 2

The missing reason in the proof is the Transitive property.

Explanation:

As per the transitive property if two numbers are equal to each other and the second one is equal to third one, then the first one is also equal to third one which means if a=b and b=c then a=c.

In this case we can see that
`\bold\angle2 \cong \angle3` and
`\angle2 \cong \angle6\bold`,

So, in this proof as per the transitive property we can say
`\bold\angle3 \cong \angle6\bold`