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

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Homework Help Overview

The discussion revolves around finding the measure of an angle in an isosceles triangle when given its base angles. The problem involves the relationship between the angles and the sum of angles in a triangle.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between the angles in an isosceles triangle, questioning the validity of having unequal base angles. There are attempts to set up equations based on the triangle's angle sum property.

Discussion Status

The discussion includes various attempts to solve for the angle x, with some participants expressing confusion over the assumption that the base angles can be different. There are indications of differing interpretations of the problem, and some algebraic manipulations are being questioned.

Contextual Notes

Participants note that the typical property of isosceles triangles having equal base angles may not apply in this scenario, leading to discussions about the implications of this assumption.

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?
 
?=34
 
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?
 
I marked this solved
 
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
 
Last edited:
Frank212 said:
x+146-x+x=180
x+146=180
x=73
Really? Check your algebra. Also, your equation is incorrect.
 

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