Question

Ratio of three angles of a triangle is 5:6:7. Find the angles​

Answer 1

Answer:

Ratio of angles= 5:6:7

Let common ratio= x

Angles= 5x,6x,7x

The sum of angles of triangle is 180

5x+6x+7x= 180

18x=180

x=10

Angles=5x10=50°

6x10=60°

7x10=70°

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Answer 2

Answer:

Let the three angles of triangle are 5x, 6x and 7x.

Sum of all angles of triangle = 180°

5x + 6x + 7x = 180°

18x = 180°

x = 180/18

x = 10

Now,

5x = 5*10 = 50°

6x = 6*10 = 60°

7x = 7*10 = 70°

Hence, the three angles of triangle are 50°, 60° and 70°.