Isosceles triangle with angle bisector

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Homework Help Overview

The discussion revolves around an isosceles triangle involving angle bisectors and the calculation of angles, specifically focusing on finding the value of x in relation to angles ADB and CBD.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants attempt to apply the triangle sum theorem to find angles and question the relationships between the angles in the triangle. There is confusion regarding the interpretation of the angle bisector and its implications for angle measurements.

Discussion Status

The discussion is ongoing with participants exploring different interpretations of the angle bisector and its effect on the angles in the triangle. Some guidance has been offered regarding the calculations, but there is no clear consensus on the correct approach to determining the angles.

Contextual Notes

There appears to be confusion regarding the definitions and properties of angle bisectors, as well as the specific angles being referenced in the problem. The repeated questioning of angle CBD indicates a need for clarification on this aspect.

Frank212
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Homework Statement


Find x[/B]
bandicam 2016-08-12 23-30-16-190.jpg


Homework Equations


a+b+c=180[/B]

The Attempt at a Solution


ADB= 65+65+50=180
How do I find x in DBC?
 
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Frank212 said:

Homework Statement


Find x[/B]
View attachment 104594

Homework Equations


a+b+c=180[/B]

The Attempt at a Solution


ADB= 65+65+50=180
How do I find x in DBC?
What is the measure of angle CBD ?
 
SammyS said:
What is the measure of angle CBD ?
SammyS said:
What is the measure of angle CBD ?

ADB=50+65+65=180
angle bisector -> angle on a line 180 degrees. 180-65=115
x= 180-115=65, 65/2=32.5
CBD=32.5+115+32.5

x=32.5
 
Frank212 said:
ADB=50+65+65=180
angle bisector -> angle on a line 180 degrees. 180-65=115
x= 180-115=65, 65/2=32.5
CBD=32.5+115+32.5

x=32.5
Actually, I asked about angle CBD, ( ∠ CBD ), not triangle CBD ( Δ CBD ).

Maybe, that's what you mean by
" angle bisector -> angle on a line 180 degrees. 180-65=115 ",​
but an angle bisector cuts an angle exactly into two angle of equal measure.

So, yes, .∠ CBD = 180° - 65° = 115° .

It's really very confusing, and incorrect, when you state the following.
Frank212 said:
CBD=32.5+115+32.5
 

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