Let the smallest angle = x

Then the second angle = x+2

The third angle = x+4

But we know that the sum of the angles of a traingle = 180

Then,

x + (x+2) + (x+4) = 180

==> 3x + 6 = 180

==> 3x = 180- 6 = 174

Now divide by 3:

==> x= 174/3 = 58

Then the angles of the triangle are:

58 , 60, and 62.

To answer this question, remember that the angles of a triangle always sum to 180 degrees. Let the three angles in question be labeled A, B, and C. Also, let A = n;

A = n; B = n + 2; C = n + 4; i.e. consecutive even numbers.

A + B + C = n + n + 2 + n + 4 = 180

3n + 6 = 180

n = 174/3 = 58

Thus,

**A = 58,**

**B= 60,**

**C = 62**