What is m∠DEF?
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Step-by-step explanation:

m∠GEF = 18º since it is marked as congruent to ∠DEG, so putting them together we get m∠DEF = 36º. Since the angles in the triangle need to add to 180º and angles D and F are congruent, we could write the equation 2x + 36 = 180 where x stands for ∠F.

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: