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Marrrta [24]
3 years ago
9

Answer please please I cant think

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer: ∠A = 20°; ∠B = 59°; ∠C = 101°

Step-by-step explanation:

<u>According to the problem:</u>

  • ∠A = ∠A
  • ∠B = 4 · ∠A - 21°
  • ∠C = 5 · ∠A + 1°

<u>All interior angles within a triangle adds up to 180°:</u>

∠A + ∠B + ∠C = 180°

A+(4A-21)+(5A+1)=180\\\\A+4A+5A-21+1=180\\\\10A=180+21-1\\\\10A=200\\\\A=20\°

<u>Substitute in the value of ∠A into the other equations:</u>

∠B = 4 · ∠A - 21° = 4(20°) - 21° = 80° - 21° = 59°

∠C = 5 · ∠A + 1° = 5(20°) + 1° = 100° + 1° = 101°

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