Question

the angle of a triangle are in AP. if the greater angle is equal to the sum of other two angles, then find the angles also find these angles are multiple of which angle

Answer 1

Answer:

Step-by-step explanation:

Let the angles be a-d,a,a+d.

Let a+d be the greater angle.

a+d=a+(a-d).......(1)

We also know by angle sum property that, (a-d)+a+(a+d)=180

3a=180

a=60

Now substituting value of a in (1) we get,

2d=60

d=30

Therefore angles are 30,60 and 90.

They all are multiples of angle 30