Question 373463
The second angle in a triangle is five times as large as the first.
The third angle is two-thirds as large as the first.
 What are the angle measures?
:
Let x = the 1st angle
then
5x = 2nd angle
and
{{{2/3}}}x = the 3rd angle
:
x + 5x + {{{2/3}}}x = 180
6x + {{{2/3}}}x = 180
multiply each term by 3 to get rid of the denominator
18x + 2x = 3(180)
20x = 540
x = {{{540/20}}}
x = 27 degrees is the 1st angle
I think you can find the other angles