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In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 5 degrees less than 6 times the size of angle A.
Find the size of the angles.

If you can help me, you are a legend

Sagot :

mhanifa

Answer:

  • 18.5°, 55.5°, 106°

Step-by-step explanation:

Given:

  • B = 3A
  • C = 6A - 5

Since the sum of three interior angles is 180°, solve for A:

  • A + B + C = 180
  • A + 3A + 6A - 5 = 180
  • 10A = 185
  • A = 18.5°

Find B and C:

  • B = 3*18.5 = 55.5°
  • C = 6*18.5 - 5 = 106°
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