Question

Angles of triangle are in ap find the middle angle

Answer 1

Step-by-step explanation:

Consider the angles as a -d , a and a + d

We know that,

Sum of all three angles of triangle = 180

=> a - d + a + a + d = 180°

=> 3a = 180

=> a = 60°

Middle angle = a = 60°

Answer 2

Answer:

60°

Step-by-step-explanation:

Since angles are in AP, they must be having a common difference.

Let the common difference between the angles be d.

Smallest angle be a - d {{ first term of AP }

Thus,

Second term = a - d + d = a

Third term = a + d

We know,

= > Sum of angles at vertices in a triangle = 180°

= > ( a - d ) + a + ( a + d ) = 180°

= > a - d + a + a + d = 180°

= > 3a = 180°

= > a = 60°

Thus,

= > Middle angle = a = 60°.