Question 1153977
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The sum of all the angles of a polygon having n sides (n >= 3) is given by
{{{(2n - 4) * 90}}} degrees.

The sum of all the angles of a parallelogram (which has 4 sides) is 
4 * 90 = 360 degrees

The angles are in the ratio 2:3:2:3
So if we assume the first angle is 2x, the other angles are 3x, 2x and 3x. (As you know, opposite angles of a parallelogram are equal)

So sum of the angles -
{{{2x + 3x + 2x + 3x = 10x = 360}}}
Solving, {{{x = 36}}}

Hence the 4 angles are 2x, 3x,2x, 3x i.e.
{{{72}}} , {{{108}}} , {{{72}}} and {{{ 108 }}} degrees

Check: Sum = 72 + 108 + 72 + 108 = 360. Confirmed.