# Math Help - Geometry

1. ## Geometry

find the angles:-

In a triangle one of the sides is double of the other and the third angle is double of the first angle.

thanks!

2. Originally Posted by pickbrain
find the angles:-

In a triangle one of the sides is double of the other and the third angle is double of the first angle.

thanks!
The angles of a triangle always add up to $180$ degrees. One side is double the other, so then $A=2B$, and the third angle is double of the first angle. This is slightly ambiguous as to what the first angle is, but I read it as being $A$, so $C=2A \Rightarrow 4B$.

Let's add up all the angles to equal one hundred and eighty degrees. $A+B+C=180$.

Write everything in the form of one variable. It so happens that B is the easiest.

$2B+B+4B=180$

$7B=180$

$B = \frac{180}{7}$

Solve for A and C.