Question

the angles of a triangle are in an A.p . The smallest angle is 30° . find the common difference?​

Answer 1

Answer:

The three angles in A.P.;

if y is common difference, let these angles be (x+y)

∘

,x

∘

and(x−y)

∘

∴x+y+x+x−y=180

∘

x=60

∘

According to the question,

(x+y)

180

π

c

(x−y)

=

π

60

π(x−y)=(x+y)

180

π

×60

3(x−y)=x+y

4y=2x

y=

2

x

∴y=

2

60

∘

=30

∘

Hence three angles are 30

∘

,60

∘

and90

∘

.