Question

7. The angles of a triangle are in A.P. The ratio of
its biggest and lowest angles given in radians and
degrees respectively is : 60. Find its angles in
degrees​

Answer 1

Answer:

30

Step-by-step explanation:

Let the angles of the triangle be (a−d)

0

,a

0

and (a+d)

0

.

Then (a−d)+a+(a+d)=180

⇒3a=180

⇒a=60

Thus, the angles are (60−d)

0

,60

0

and (60+d)

0

Number of degrees in the least angle =(60−d)

and number of radius in the greatest angle =(60+d)×

180

π

=

180

π

(60+d)

According to question,

180

π

(60+d)

(60−d)

=

π

60

⇒(60−d)=

3

1

(60+d)

⇒180−3d=60+d

∴d=30

Hence, the angles of the triangle are (60−30)

0

,60

0

,(60+30)

0

i,e., 30

0

,60

0

,90

0

.

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