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

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(1) Answers

Dragon18

The technique I use is add up the numbers in the ratio. You get 2 + 4 + 4 = 10. Now to find the angles, you have to find the fraction of each number in the triangle. So [latex] \frac{2}{10}\times 180 = 36[/latex] . Since the other two angles are 4 and 4, which are two times of 2, we can say the other two angles are 72 degrees each.