Anonymous

Smallest angle = x Other angles are x + 120 3x The internal angles must total 180. Therefore x + (x +120) + 3x = 180 5x + 120 = 180 5x = 60 x = 12 degrees

Anonymous

The angles in a triangle are such that one angle is 120 more than the smallest angle, while the third angle is 3 times as large as the smallest angle. x, (x + 120) + 3x = 180 x = 12 The measure of all three angles: 12°, 132° and 36°

Anonymous

θ + θ +120+3θ = 180 5θ = 60° Angles are 12°, 36° and 132°

Anonymous

smallest angle is x° second angle = x+120 third angle = 3x x + (x+120) + (3x) = 180° x = 12° second angle = x+120 = 132° third angle = 3x = 36°

Anonymous

x + (120 + x) + 3x = 180 5x + 120 = 180 5x = 60 x = 12. Smallest angle is 12°, then 36°, and the largest angle is 132°.

Anonymous

Rule: the sum of 3 angles = 180

Anonymous

Let x be the smallest angle, y be 120 degrees more, and z be 3 times x. y = x + 120 z = 3x x + y + z = 180 Solve the system of equations. x = 12 y = 132 z = 36

Anonymous

Simple! Let the small angle be X; the third angle is 3X, and the other angle is 120+X; this sum equals 180, so 5X + 120 = 180; 5X = 60 so X = 12.