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What is the missing reason in the proof?
Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD


definition of angle bisector
segment addition property
definition of congruent angles
transitive property

What is the missing reason in the proof Given ABC is a right angle DBC is a straight angle Prove ABC ABD definition of angle bisector segment addition property class=
What is the missing reason in the proof Given ABC is a right angle DBC is a straight angle Prove ABC ABD definition of angle bisector segment addition property class=

Respuesta :

We know that two angles are congruent if their values are the same or in other words if they are equal. Now, in step #2 it is given that [tex] m\angle ABC=90^{\circ}[/tex] and in step #7 it has been proven that [tex] m\angle ABD=90^{\circ} [/tex]. Thus, since both the angles, [tex] \angle ABC [/tex] and [tex] \angle ABD [/tex] have equal values or equal measures, both amounting to [tex] 90^{\circ} [/tex]. Therefore, by definition of congruent angles, [tex] \angle ABC \cong \angle ABD [/tex]/.

Thus, the missing reason in the proof at step #8 is "definition of congruent angles".

The ∠ABC and ∠ABD are supplement angles. Then the angles ∠ABC and ∠ABD are congruent to each other.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given that the angle ∠ABC is a right angle, ∠DBC is a straight angle.

Prove that the angle ∠ABC ≅ ∠ABD.

∠ABC = 90°

And DBC is a straight line then the angle ∠DBC is 180°.

We know that the ∠ABC and ∠ABD are supplement angles. Then we have

∠ABC + ∠ABD = 180°

    90° + ∠ABD = 180°

              ∠ABD = 90°

Thus, the angles ∠ABC and ∠ABD are congruent to each other.

More about the angled link is given below.

https://brainly.com/question/15767203

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