Question

one angle of a triangle is 60degree the other two angles are in the ratio of 5:7 find the two angles

Answer 1

let other angles be 5A and 7A,

5A+7A+60°=180°,

12A+60°=180°,

12A=180°-60°,

12A=120°,

then

A=120°/2=60°

Answer 2

let 5/7 be 5a/7b ........eq. q1
5a+7a+60=180
12a=180-60
a=120/12
a=10
now,
from eq 1. 5×10=50 and 7×10=70

so the two remaining angles are 50° and 70°