Answer:
x = 20
(5x + 2) = 102º
(3x + 5) = 65º
(8x + 8) = 168º
(4x + 15) = 95º
(5x + 10) = 110º
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