Question

In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°, what is the value of x?

35
37
44
71

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we first need to use the fact that the sum of the angles in a triangle is always 180 degrees.

m∠D + m∠E + m∠F = 180
(2x) + (2x - 4) + (x + 9) = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35

Therefore, the value of x is 35.