Question

The angles of a triangle are arranged in ascending order of magnitude. if the difference between two consecutive angles is 10°, find the three angles.​

Answer 1

Answer:

50, 60 and 70 degrees

Step-by-step explanation:

This might be a tricky question, but it is easy once you understand the concept behind it.

Let's take the smallest angle as x. Now, they have said that the difference between the angles is 10 degrees, so the other two angles would be x + 10 and x + 10 + 10, i.e. x + 20.

Using the angle sum property of triangles, the sum of the three angles of the triangle is always equal to 180 degrees.

So, x + (x + 10) + (x + 20) = 180

3x + 30 = 180

3x = 150

x = 150 / 3 = 50

So, the three angles are:

x = 50

x + 10 = 60

x + 20 = 70