Question

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABDdefinition of angle bisectorsegment addition propertydefinition of congruent anglestransitive property

Answer 1

Answer: C. definition of congruent angles

Explanation:

I took the test and get it right.

Answer 2

For a better understanding of the solution provided here please find the relevant diagram drawn as per given information in the file attached.

As given,
`\angle ABC=90^(\circ)`. Also, it is given that
`\angle DBC` is a straight angle. Therefore,
`\angle DBC=180^(\circ)`.

As can be clearly seen from the diagram, if
`\angle DBC=180^(\circ)` and
`\angle ABC=90^(\circ)`, then:

`\angle ABD=\angle DBC-\angle ABC=180^(\circ)-90^(\circ)=90^(\circ)`

Therefore,
`\angle ABD\cong\angle ABC`

Hence Proved.