The second angle of a triangle is 3 times as large as the first. The third angle is $50^{\circ}$ more than the first. Find the measure of the smallest angle.
A) $50^{\circ}$
B) $40^{\circ}$
C) $26^{\circ}$
D) $130^{\circ}$

Question

Quizplus · Accepted Answer

The sum of angles in a triangle is $180^{\circ}$. Let the first angle be $x$, then the second is $3x$, and the third is $x + 50^{\circ}$. The equation is $x + 3x + x + 50 = 180$, simplifying to $5x + 50 = 180$, then $5x = 130$, and $x = 26^{\circ}$.

The Second Angle of a Triangle Is 3 Times as Large