Question

the angles of a traingle are in AP the greatest angle is twice the least. find the all angles of traingal​

Answer 1

Answer:

80,40, 60

Step-by-step explanation:

this my assumption it's correct 99.99%

Answer 2

Answer:

Step-by-step explanation:

Given :-

The angles of a triangle are in AP the greatest angle is twice the least.

To Find :-

All angles of triangle.

Solution :-

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

⇒ a - d + a + a + d = 180 (Triangle Sum Property)

⇒ 3a = 180

⇒ a = 180/3

⇒ a = 60

⇒ a + d = 2 (a − d)

⇒ 60 + d = 2(60 - d)

⇒ 3d = 60

⇒ d = 20

Hence, Angles are 40, 60 and 80 .

Difference = 80 - 40 = 40