One angle of a triangle is 115 degrees. The sum of the remaining angles is therefore 180-115=65° If they are in a ratio of 2:11, then the smaller angle is 65*(2/(2+11))=10° the larger angle is 65*(11/(2+11))=55°. Check: 10+55=65°=180-115° ok. Answer: the measures of the remaining angles are 10 and 55°
