Question

the second angle in a triangle is five times as large as the first. The third angle is 2/3 as large as the first. What are the angle measures?

Answer 1

Hello,
let x the first angle

5x the second
2/3 x the third

x+5x+2/3x=180
==>20x/3=180
==>x=27 (°)
5x=5*27=135
2/3*x=2/3*27=18

27+135+18=180