Question Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle

Answer: 123°, 41° and 16° Step-by-step explanation: x – the measure of the largest angle x – 107° – the measure of the smallest angle ¹/₃x – the measure of the third angle x + x – 107° + ¹/₃x = 180° 2¹/₃x = 180° + 107° ⁷/₃x = 287° x = 287°÷⁷/₃ x = 287° · ³/₇ x = 123° x-107° = 123° – 107° = 16° ¹/₃x = ¹/₃ · 123° = 41° Log in to Reply

Answer:123°, 41° and 16°Step-by-step explanation:x – the measure of the largest angle

x – 107° – the measure of the smallest angle

¹/₃x – the measure of the third angle

x + x – 107° + ¹/₃x = 180°

2¹/₃x = 180° + 107°

⁷/₃x = 287°

x = 287°÷⁷/₃

x = 287° · ³/₇

x = 123°

x-107° = 123° – 107° = 16°

¹/₃x = ¹/₃ · 123° = 41°