# SOLUTION: The measure of one angle of a triangle is three times the measure of the smallest angle, and the measure of the last angle is equal to the sum of the other two angles. Find the me

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The measure of one angle of a triangle is three times the measure of the smallest angle, and the measure of the last angle is equal to the sum of the other two angles. Find the me      Log On

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 Click here to see ALL problems on Geometry Word Problems Question 339367: The measure of one angle of a triangle is three times the measure of the smallest angle, and the measure of the last angle is equal to the sum of the other two angles. Find the measure of the greatest angle of the triangle.Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!The measure of one angle of a triangle is three times the measure of the smallest angle, and the measure of the last angle is equal to the sum of the other two angles. Find the measure of the greatest angle of the triangle. ------------- Let "z" be the smallest angle: x = 3z y = x+z x+y+z = 180 ---- Substitute and solve for "x": x + (x+z) + (1/3)x = 180 x + x + (1/3)x + (1/3)x = 180 2x + (2/3)x = 180 6x + 2x = 540 8x = 540 x = 67.5 degrees z = 67.5/3 = 22.5 degrees --- y = x+z = 90 degrees ========================== Cheers, Stan H.