the angles of a triangle are arranged in asscending order of magnitude. if the diffrence between two consecutive angles is 10degree ,find all the three triangles
let the angles be
x-10 , x , x+10
x-10+x+x+10 = 180
3x = 180
x = 60
angles are 50,60, and 70
To solve this problem, we can start by assigning variables to the angles of the triangle.
Let the first angle be x degrees. Since the angles are arranged in ascending order, the second angle would be x + 10 degrees. Finally, the third angle would be x + 20 degrees.
Now, we know that in any triangle, the sum of all angles is 180 degrees. We can write an equation to represent this:
x + (x + 10) + (x + 20) = 180
Simplifying the equation, we get:
3x + 30 = 180
3x = 150
x = 50
So, the first angle is 50 degrees, the second angle is 60 degrees (50 + 10), and the third angle is 70 degrees (50 + 20).
Therefore, the three angles of the triangle are 50 degrees, 60 degrees, and 70 degrees.