Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) [tex]\angle 2\cong\angle 3[/tex] Given
2) [tex]m\angle2=m\angle 3[/tex] Definition of Congruence
3) [tex]\angle 1\text{ and } \angle 2\text{ form a linear pair}[/tex] Given
4) [tex]\angle 1 \text{ and } \angle 2\text{ are supplementary}[/tex] Supplement Theorem
5) [tex]m\angle 1+m\angle 2=180^\circ[/tex] Definition of Supplementary Angles
6) [tex]m\angle 1+m\angle 3=180&^\circ[/tex] Substitution
7) [tex]\angle 1\text{ and } \angle 3 \text{ are supplementary}[/tex] Definition of Supplementary
And we're done!
