Question

the angles of a triangle are in AP the least being half the greatest. Find the angles

Answer 1

Answer:

40°, 60°, 80°

Step-by-step explanation:

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

Then,

By angle sum property,

a + a+d + a-d = 180°

3a = 180

a = 60.

(a - d) = 1/2(a+d)

2(a -d) = a + d

2a - 2d = a + d

a = 3d

60 = 3d

d = 20

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The angles are:

a - d = 60 - 20 = 40°

a = 60°

a + d = 60 + 20 = 80°

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Hope it helps....

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Answer 2

1. Step-by-step explanation:

by manjeet yadav see upper picture