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Classify triangle DEF according to its angle measures. URGENT!!! Please

1.equiangular
2. Acute
3. Equilateral
4.Obtuse

Classify triangle DEF according to its angle measures. URGENT!!! Please 1.equiangular-example-1

1 Answer

4 votes
To classify triangle DEF according to its angle measures, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

E(2x+11), D(4x+7), and F(7x-3) are the angles of triangle DEF.

(2x+11) + (4x+7) + (7x-3) = 180

13x + 15 = 180

13x = 165

x = 165/13

x = 12.69 (rounded to two decimal places)

Now we can find the measures of each angle:

E = 2x+11 = 2(12.69)+11 = 36.38 degrees

D = 4x+7 = 4(12.69)+7 = 59.88 degrees

F = 7x-3 = 7(12.69)-3 = 85.83 degrees

Since all three angles are less than 90 degrees, triangle DEF is an acute triangle. So the answer is 2. Acute.
User Tat
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