Question

CERTAIN ANSWERS!!! Please assist me! I will award you brain crown! Thank you in advance:))

Answer 1

See below.

Explanation:

Statements: Reasons:

1)
`\angle 2\cong\angle 3` Given

2)
`m\angle2=m\angle 3` Definition of Congruence

3)
`\angle 1\text{ and } \angle 2\text{ form a linear pair}` Given

4)
`\angle 1 \text{ and } \angle 2\text{ are supplementary}` Supplement Theorem

5)
`m\angle 1+m\angle 2=180^\circ` Definition of Supplementary Angles

6)
`m\angle 1+m\angle 3=180&^\circ` Substitution

7)
`\angle 1\text{ and } \angle 3 \text{ are supplementary}` Definition of Supplementary

And we're done!