In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?

Question

In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.]  What is the measure of each angle?

Steve · Answer

just write it algebraically: b = 3a b = c-110 a+b+c=180 a + 3a + (110+3a) = 180 7a = 70 a=10 b=30 c=140