Answered

Statements

Reasons

1. ZABC is rt. 2

1. A

Identify the missing parts in the proof.

Given: ZABC is a right angle.

DB bisects ABC.

Prove:mZCBD = 45°

2. DB bisects ABC

2. given

3. def. of rt. 2

3. B

A:

4. m ABD = mZCBD

4. def. of bis.

B:

C:

D:

5.C

5. M_ABD + m2CBD = 90°

6. m2CBD + m2CBD = 90°

7. D

6. subs. prop.

7. add.

8. div. prop.

8. mZCBD = 45°

Answer :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

[tex]CBD = ABD[/tex]

and

[tex]CBD + ABD = 90[/tex]

Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]

[tex]CBD + CBD = 90[/tex]

[tex]2CBD = 90[/tex]

Divide both sides by 2

[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]

[tex]CBD = \frac{90}{2}[/tex]

[tex]CBD = 45[/tex]

Hence, it is proved that [tex]CBD = 45[/tex]

Follow the above explanation and use it to answer your question properly

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