Answers

1. Answer: 23°, 65° and 92°

   Step-by-step explanation:

   a + b + c = 180 (The angles of a triangle equals to 180)

   a = 4c (the largest angle is 4 times the smallest angle)

   b = 4c – 27 (the final angle is 27 less than the largest angle)

   c = c

   Now that we have gotten the values for the variables in our equation, we plug them in:

   4c + 4c – 27 + c = 180

   Combine like terms:

   4c + 4c + c – 27 = 180

   9c – 27 = 180

   9c = 180 + 27

   9c = 207

   Divide both side by 9

   c = 23

   a= 4c

   a = 4 × 23

   a = 92

   b = 4c – 27

   b = 92 – 27

   b = 65

   b = 65

   Check:

   a + b + c = 180

   92 + 65 + 23 = 180

   180 = 180

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