Question

In a triangle , two angles are four times the third angle then the values of angles will be?

Answer 1

let the 3rd angle be x
=>1st angle=4x and second angle=4x
=>4x+4x+x=180 (A.S.P.)
=>9x=180
=>x=20

Answer 2

as the two angles are 4 times the third one then they are equal so

let the angle be x

other angles will be 4x, 4x

as acc. to the angle sum property of triangle i.e.
1st ang +2nd ang +3rd ang =180°

ATQ,
x+4x+4x =180°
9x=180°
$x = \frac{180}{9} \\ x = 20$
x=20°

1st angle=20°
2nd angle =80°
3rd angle =80°