ANGLES of a TRIANGLE = 180Given ration = 2 : 3 : 4Let the unit to measure the angles be XSO, the angles are 2x , 3X and 4xTherefore, 2x + 3x + 4x = 180°→ 9x = 180→ x = 20So, the angles of the triangle are 40 , 60 and 80 .1) Right-angled → No (As no angle is 90 )2) OBTUSE angle → No (As none of the angles are greater than 90 and less than 180 )3) Isosceles → No (As two angles are not same)4) Acute angle → Yes (As all the angles are greater than 0 and less than 90 )Hence, the given triangle is acute angled triangle.