1 Answer

CMPSoares · Answer 1 · 2023-08-15T13:00:37+0000

Answer:

D) 116

Explanation:

Supplementary angles add up to 180°

∠CDE + ∠FDE = 180

3x + 10 + 6x + 8 = 180

3x + 6x + 10 + 8 = 180

Combine like terms,

9x + 18 = 180

Subtract 18 from both sides,

9x = 180 - 18

9x = 162

Divide both sides by 9

x = 162 ÷ 9

$\sf \boxed{\bf x = 18}$

∠FDE = 6x + 8

= 6*18 + 8

= 108 + 8

= 116°

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