Question

The angles of a triangle are in AP. If the greatest angle is double the least,Find the angles.​

Answer 1

Answer:

let the least angle be "x"

Step-by-step explanation:

Greatest angle = 2x

third angle = (2x + x)/2 = 3x/2

sum of all the angles of triangle

= 180°

x + 3x/2 + 2x = 180°

9x = 360° => x = 40°

3x/2 = 3×40/2 = 60°

2x = 2 × 40 = 80°

angles are 40°, 60° and 80° .

Answer 2

Step-by-step explanation:

Let the angles in the AP be a, a+d, a+2d

a+a+d+a+2d=180

3a+3d=180

a+d=60. -(1)

(Sum of measures of angles of triangle)

According to the condition,

a+2d=2a

a=2d,--(2)

from 1 and 2

2d+d=60

3d=60

d=20

Therefore the angles are 40,60,80