SOLUTION: The measure of the smallest angle of a triangle is ​one-third the measure of the largest angle. The measure of the second angle is 30degrees° less than the measure of the la

Algebra ->  Angles -> SOLUTION: The measure of the smallest angle of a triangle is ​one-third the measure of the largest angle. The measure of the second angle is 30degrees° less than the measure of the la      Log On


   



Question 1047525: The measure of the smallest angle of a triangle is ​one-third the measure of the largest angle. The measure of the second angle is 30degrees° less than the measure of the largest angle. Find the measure of the angles of the triangle.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x the measure of the largest angle
x/3 + (x-30) + x = 180°
x/3 + 2x - 30 = 180°
x + 6x - 90 = 540°
7x = 630°
x = 90°, the measure of the largest angle
Angles: 30° 90%2F3, 60°90-30, 90° (AND..yes! sum = 180°)