SOLUTION: the second angle of a triangle is two times as large as the first. The third angle is 15 degress less than the sum of the other two angles.Find the measure of the first angle

Algebra ->  Triangles -> SOLUTION: the second angle of a triangle is two times as large as the first. The third angle is 15 degress less than the sum of the other two angles.Find the measure of the first angle      Log On


   



Question 305300: the second angle of a triangle is two times as large as the first. The third angle is 15 degress less than the sum of the other two angles.Find the measure of the first angle
Answer by mananth(16949) About Me  (Show Source):
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the second angle of a triangle is two times as large as the first. The third angle is 15 degress less than the sum of the other two angles.Find the measure of the first angle
let first angle be x
the second angle will be 2x
third angle = 2x+x -15 = 3x-15
.
x+2x+3x-15=180
6x=195
x= 32.5 degrees