We use the following reasons to prove the statement:
- Definition of right angle
- Transitive property of equality
- Definition of congruence.
We proceed to show all steps needed to prove the statement according to the Euclidean geometry:
1) [tex]\angle ABC[/tex] is a right angle, [tex]\angle[/tex]DEF is a right angle. Given.
2) [tex]m \angle ABC = 90^{\circ}[/tex], [tex]m \angle[/tex]DEF [tex]= 90^{\circ}[/tex] Definition of right angle.
3) [tex]m\angle ABC = m\angle[/tex]DEF Transitive property of equality.
4) [tex]\angle ABC \cong \angle[/tex]DEF Definition of congruence/Result.
In a nutshell, we use the following reasons:
- Definition of right angle
- Transitive property of equality
- Definition of congruence.
We kindly invite to check this question on angles: https://brainly.com/question/11990585
