Question

If one angle of a triangle is 85° and the other angles are in the ratio of 2 : 3, find the angles.​

Answer 1

Answer:

38° and 57°

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

Let, the other two angles of the triangle be 2x and 3x.

Third angle=85° (given)

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85° + 2x + 3x = 180

5x = 180-85

5x= 95

x = 19

So,

the other two angles are,

2x = 2×19 = 38°

3x = 3×19 = 57°

Answer 2

Answer: 38° and 57°

let the others two angles be 2x and 3x

Sum of all angle of a triangle is 180°

2x+3x+85°=180°

5x+85°=180°

5x=(180-85)°

5x=95°

X=95÷5

X=19°

Hence, 1st angle=(19×2)°=38°

2nd angle=(19×3)=57°