# Homework Help: Geometry Angles Problem

1. Aug 6, 2014

### Govind_Balaji

1. The problem statement, all variables and given/known data
ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Then prove that ∠D=90°-(∠A/2)

2. Relevant equations

3. The attempt at a solution

I guess I want to prove an untrue thing because by drawing a diagram and working out I get ∠D=∠A/2. I think I have drawn it wrong by mis-understanding the question. Or the question is an error? Or did I work out wrong?

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2. Aug 6, 2014

### Mentallic

I get the same result you did and I also oriented the corners of the triangle such that ABC is labelled clockwise instead (C at the top, A at the left), so the intersection point is underneath the triangle and the answer is still the same.

3. Aug 6, 2014

### Simon Bridge

You can do a quick reality check by drawing an arbitrary triangle and constructing the bisectors and measuring the angles. Try it for several triangles.

4. Aug 6, 2014

### Govind_Balaji

It seems a difficult work. Are there any thing to do with Theoretical geometry.

5. Aug 6, 2014

### Govind_Balaji

Even I tried what Simon said with a simulator called GEOGEBRA. I get the same result.

6. Aug 6, 2014

### olivermsun

I get the same result as you using a + b + c = 180° = (180 - b)/2 + b + a + c/2.

7. Aug 6, 2014

### Govind_Balaji

I guess there must be a printing error in the question like may be the angles changed or like that

8. Aug 7, 2014

9. Aug 7, 2014

### Govind_Balaji

Yes I know just lazy to do that because when I miss 1° accuracy, I may get very strange results.