Respuesta :

wegnerkolmp2741o

Answer:

30

Step-by-step explanation:

If the triangle is equilateral, that means all angles are equal

180/3 = 60  so all angles equal 60 degrees

<Y is an angle in the triangle so it equal 60 degrees

4/3x +20 = 60

Subtract 20 from each side

4/3x +20-20 = 60-20

4/3x = 40

Multiply each side by 3/4 to isolate x

4/3x * 3/4 = 40*3/4

x = 30

Answer:

a. 30

Step-by-step explanation:

Equilateral triangle has equal sides and equal angles. Triangles have a total of 180°. 180° divided by 3 (amount of angles) = 60°.

60° = 4/3x + 20 <-- set the equation equal to 60°

40 = 4/3x <-- subtract both sides by 20

x = 30 <-- divide both sides by 4/3, divide 40 by 4/3 by multiplying 40 by the opposite reciprocal, this leaves the variable x isolated and there is your answer

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