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Sagot :

Answer:

x = 20

(5x + 2) = 102º

(3x + 5) = 65º

(8x + 8) = 168º

(4x + 15) = 95º

(5x + 10) = 110º

Step-by-step explanation:

(5x + 2) + (3x + 5) + (8x + 8) + (4x + 15) + (5x + 10) = 540

Group like terms

(5x + 3x + 8x + 4x + 5x) + (2 + 5 + 8 + 15 + 10) = 540

Simplify

25x + 40 = 540

Subtract 40 from both sides

25x = 500

Divide both sides by 25

x = 20

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Now that x has been determined the angles can be found

(5x + 2) = 5*20 + 2 = 102º

(3x + 5) = 3*20 + 5 = 65º

(8x + 8) = 8*20 + 8 = 168º

(4x + 15) = 20*4 + 15 = 95º

(5x + 10) = 5*20 + 10 = 110º

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