Find the measures of each angle

Question

In a triangle, the second angle measures twice the first, and the third angle measures 5 more than the second. If the sum of the angles measures is 180 degrees, find the measure of each angle

Answer 1

Jadyn,

Start with a drawing.  Attempt to visualize what a triangle would have to look like if two angles are each at least twice as big as the other angle.

 

Now, we know how the second angle relates to the first, (the second angle measures twice the first), and how the third angle relates to the second, and thus also the first.

 

Let x = the first angle.

How then would we mathematically express the second and third angles?  What must be the sum of the three angles of the triangle?