Question

$\large\mathbf{HEY\: QUESTION❤}$




The angles of a triangle are in A.P., the least being half the greatest. Find the angles.


★ REQUIRED QUALITY ANSWER​

Answer 1

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Angles are-

40°,60°and 80°

Answer 2

Step-by-step explanation:

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

Sum of the angles of a triangle is 180

$so(a - d) + (a) + (a + d) \\3a = 180 \\ a = 60$

Also, from the given condition

$60 - d = \frac{1}{2} (60 + d)$

$2(60 - d) = 60 + d$

$120 - 2d = 60 + d$

$120 - 60 = d + 2d$

$60 = 3d$

$d = 20$

Thus, the required angles are 40, 60, 80