Question

Of the three angles of a triangle one is twice the smallest and another is thrice the smallest. Find the largest angle in degrees

Answer 1

Let the smallest angle be $x$
Then, second angle is $2x$
and third angle is $3x$
And, sum of angles = 180
$x+2x+3x=180$
$6x=180$
$x=30$
Thus, the three angles are 30${}^{\circ }$, 60${}^{\circ }$ and 90${}^{\circ }$