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

User Alexey Korsun
by
2.9k points

1 Answer

7 votes
7 votes

Answer:

40°, 60°, 80°

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

User SohamC
by
2.7k points
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