Question

If one angle of a traingle is 60 and the other two angles are in the ratio 2:3 find these angles

Answer 1

Total angles of a triangle = 180

sum of other 2 angles = 180 - 60 = 120

total ratio = 3 + 2 = 5

divide 120 by 5 , = 24

multiply the ratio 2:3 by 24 , you get 48:72

So the angles are 48, 72 and 60 degrees

Answer 2

⭐⭐Here is your answer⭐⭐


First angle of ∆ = 60°

Let the second angle = 2x

Third angle = 3x

We know that Sum of all angles of ∆ = 180°

A/Q,

=> 60° +2x + 3x = 180°

=> 2x+3x = 180°-60°

=> 5x = 120°

=> x = 120°/5

=> x = 24°

Now,

First angle = 60° ( given)

Second angle = 2x = 2 x 24° = 48°

Third angle = 3x = 3 x 24° = 72°

Hence, 60°+48°+72°= 180°


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