Question

one angle of triangle is 60° the other two angels are in ratio 1½ : 1⅓ find the angles​

Answer 1

Answer:

Given,

one angle of a triangle is 60°.

Let the other two angles be x and 2x.

We know that, the sum of all angles in a triangle is equal to 180°

x + 2x + 60° = 180°

3x = 180° - 60°

3x = 120°

x = 40°

So, the other two angles will be x = 40° and 2x = 2 x 40° = 80°

Step-by-step explanation:

hope it helps you

Answer 2

Step-by-step explanation:

1 ½ = 3/2 x

1 ⅓ = 4/3 x

60° + 3x/2 + 4x/3 = 180°

3x/2 + 4x/3 = 120°

{ 3×(3x) + 2×(4x) } / 6 = 120°

{9x + 8x} / 6 = 120°

17x / 6 = 120°

17x = 120×6

17x = 720

x = 720/17

x = 42.35 (approx)

so... the angles are....

3x/2 = 63.525(approx)

4x/3 = 56.466(approx)