Question

The angles of a triangle are in ratio 2:3:4 express the angles in circular measure as well as in degrees

Answer 1

Answer:

The angles are 40° , 60° and 80°.

Step-by-step explanation:

The angles of triangle are in ratio of 2:3:4

let the angles be ∡A ,∡B and ∡C.

∴ ∡A = 2x

∡B = 3x

∡C = 4x

By sum of angles of a triangle formula:-

∡ A+ ∡B +∡ C = 180°

∴ 2x + 3x + 4x = 180°

9x = 180°

x = 20°

Now by putting the values of x ,

∡A =2x = 2x20 = 40°

∡B = 3x = 3x20 = 60°

∡C = 4x = 4x20 = 80°

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