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

In summary, the conversation discusses finding the value of x in an isosceles triangle with unequal base angles. The equation a+b+c=180 is used to solve for x, and it is determined that x=34. However, there is some confusion about whether x and (146-x) are actually different values. The correct solution is x=73.
  • #1
Frank212
14
1

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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  • #2
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?
 
  • #3
?=34
 
  • #4
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?
 
  • #5
I marked this solved
 
  • #6
Frank212 said:
I marked this solved
What's your solution ?
 
  • #7
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:
  • #8
Frank212 said:
x+146-x+x=180
x+146=180
x=73
Really? Check your algebra. Also, your equation is incorrect.
 

What is an isosceles triangle?

An isosceles triangle is a triangle with two sides of equal length. This means that two of the angles in the triangle are also equal in measure.

What is the sum of the angles in an isosceles triangle?

The sum of the angles in any triangle is always 180 degrees. In an isosceles triangle, since two of the angles are equal, we can divide 180 by 2 to find that each angle measures 90 degrees.

Can an isosceles triangle have an angle greater than 90 degrees?

No, since the sum of the angles in a triangle is 180 degrees, and two of the angles in an isosceles triangle are already 90 degrees, the remaining angle must be less than 90 degrees.

How can I find the measure of the third angle in an isosceles triangle?

Since two of the angles in an isosceles triangle are equal, you can subtract the measure of one of the equal angles from 180 to find the measure of the third angle.

Can an isosceles triangle have all three angles equal?

Yes, an isosceles triangle with all three angles equal is called an equilateral triangle. This means that all three sides are also equal in length.

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