What is the measure of an isosceles triangle angle when given its base angles?

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Frank212
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Homework Statement


Find x[/B]
bandicam 2016-08-12 22-16-18-190.jpg


Homework Equations


a+b+c=180
[/B]

The Attempt at a Solution


So RP=RQ, the base angles are x and (146-x), normally the base angles are the same but in this scenario they are different.
x+146-x+?=180
 
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Frank212 said:
normally the base angles are the same but in this scenario they are different.
How can you build a isosceles triangle with unequal base angles?
 
Frank212 said:

Homework Statement


Find x[/B]
View attachment 104589

Homework Equations


a+b+c=180
[/B]

The Attempt at a Solution


So RP=RQ, the base angles are x and (146-x), normally the base angles are the same but in this scenario they are different.
x+146-x+?=180

Why do you say that x and 146-x are different? Wouldn't that depend on the value of x?
 
Frank212 said:
I marked this solved
What's your solution ?
 
SammyS said:
What's your solution ?
x+146-x+x=180
x+146=180
x=34,
180-34=146
146/2=73
x=73
 
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