nana31627 nana31627
  • 27-05-2022
  • Mathematics
contestada

the ratio of Â, B and C in triangle ABC is 2:3:4. calculate the size of each angle​

Respuesta :

jimrgrant1 jimrgrant1
  • 27-05-2022

Answer:

40°, 60°, 80°

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 + 4 = 9 parts

the sum of the 3 angles in a triangle = 180° , then

180° ÷ 9 = 20° ← value of 1 part of the ratio , then

2 parts = 2 × 20° - 40° = ∠ A

3 parts = 3 × 20° = 60° = ∠ B

4 parts = 4 × 20° = 80° = ∠ C

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