Question

Three Angles of a triangle are in AP.If the greatest angle is 75 degree. Find the remaining two angles.

Pls say it fast ...

Answer 1

Answer:

45,60,75

Step-by-step explanation:

Let the angles in AP be a - d, a,a + d.

∴ Sum of angles in a triangle = 180°.

⇒ a - d + a + a + d = 180

⇒ 3a = 180

⇒ a = 60°

Now,

Given, greatest angle is 75 degree.

∴ a + d = 75.

⇒ 60 + d = 75

⇒ d = 15

The angles are:

⇒ a + d = 75°

⇒ a = 60°

⇒ a - d = 45°

Therefore, the angles are 45°,60°,75°.

Hope it helps!

Answer 2

ANSWER

60°,75° and 45°.

Step By Step Explanation

Let the angles be a,a-d and a+d respectively as they are in AP.

So we know that =>

a + a-d + a+d = 180°

=> 3a = 180°

=> a = 60°

So we have =>

The greatest angle = 75°

=> a+d = 75°

=> d= 15°

Now the other two angles are 60° and 45° respectively.