Question

The largest angle in a triangle is 6 times the smallest, and the difference between them is 100degree.
The measure of the second largest angle of the triangle will be

Answer 1

Answer:

Correct option is

A

40

Let the angles be a−d,a,a+d, where a and d are first term and common difference respectively.

∴a−d+a+a+d=180 (∵sum of angles of trianlge)

3a=180⇒a=60

Also, a+d=2(a−d) (Given)

⇒60+d=2(60−d)

⇒3d=60⇒d=20

Therefore, angles are 60−20,60,60+20 i.e.40,60,80

Difference =80−40=40

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