Question

If all the angles of a triangle are in AP ,and least angle is half of greatest angle,then find the angle of triangles.

Answer 1

Answer:

Step-by-step explanation:

Let 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:

Hello there,

The answer to your question is in the attached pic.

Please refer the pic for the step-by-step explanation for your problem.

The answer is 40°, 60°, 80°

Hope you find my answer useful.

Harith