Question

If angle of triangle are in Ap the smallest angle is 50° find remaning angle

Answer 1

I hope it will help you.................

Answer 2

Answer:

Step-by-step explanation:

We know that sum of n terms of an Ap is given as

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

Here n = 3 ( no of angles in a ∆ )

Sn = 180 ( sum of angles of a ∆)

a = 50° ( smallest angle)

Substituting values of Sn, a, n in the formula we get.

180 = 3/2 ( 2×50 + (3-1)d)

180 =3/2 (100+2d)

360 = 300 + 6d

360-300 = 6d

d = 60/6 = 10

Hence three angles are a, a+d, a+2d

= 50°, 60°, 70°

Hope it is clear.

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