The measure of the angles of DEF are in the ratio 2:4:4. What are the measures of the angles

Question

I for get how to do it and I really don't want to fail this quiz tomorrow please help me and I will thank you if you can . 

Answer 1

Hi Alexis, 

 

I am assuming that DEF refers to a triangle. That means the sum of its angles is 180. Since the angles are in the ratio 2:4:4 there is a constant of proportionality that we can call k. So the angles could be represented by 2k, 4k, and 4k. 

 

That means 2k + 4k + 4k = 180.

 

10k = 180

k=18.

 

So the angles are 2(18), 4(18), and 4(18). Or: 36, 72, 72. Note that those angles do indeed add to 180.