Question

The angles of a tringle are in AP. If the greatest angle is double the least, find the angles ans

Answer 1

a - d, a, a + d be the three angles of the triangle that form AP. Given that the greatest angle is twice the least. Now, 2(a - d) = a + d 2a - 2d = a + d a = 3d ---------------(1) Now by angle sum property, (a - d) + a + (a + d) = 180° 3a = 180° a = 60°----------------------(2) from (1) and (2),3d = 60° d = 20° Now, the angles are, a - d = 60°- 20° = 40° a = 60° a + d = 60° + 20° = 80°

Answer 2

Answer:

Step-by-step explanation:

if angles are in ap and greatest angle is double the smallest

so the middle angle will be half more than the smallest angle

so

let smallest angle be x

so x+{x+x/2}+2x=180

4x+x/2=180

{8x+x}/2=180

9x=360

x=40

smalest angle 40

middle angle=60

largest angle=80