Question

Of the 3 angles of the triangle the second angle is 1/3 of the first. Third angle is 26 more than the first angle. Find all the three angle of the triangle.

Answer 1

sum of all angles of the triangle is equal to 180 degree.
let first angle be x.

x+1/3x+(x+26)=180
7x=462
x=66°
therefore first angle was 66 second angle was 22 and third angle was 92 degrees.

Answer 2

Hello mate,
let the first angle be x,
then,according to question,
second angle=x/3
and the third angle =x+26
Now ,angle1 +angle 2+angle3=180 [sum of interior angles of triangular is 180°]
x+x/3+x+26=180
3x+x+3x+78/3=180
7x+78=180*3
7x+78=540
7x=540-78
x=462/7
x=66
Then,angle 1=66

angle 2=66*1/3=22
angle3=66+26=92
hope helped and plz mark it..