Question

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

Answer 1

Let the measure of three angles of the triangle be x degrees, (x + 10) degrees and (x + 20) degrees.

It is known that the sum of three angles of a triangle is 180 degrees.

i.e. x + (x + 10) + (x + 20) = 180

Or 3x + 30 = 180

Or 3x = 180 - 30 = 1 50

Or x = 50

Now, x + 10 = 50 + 10 = 60 and x + 20 = 50 + 20 = 70

 

Therefore, the measures of three angles of the triangle are 50 degrees, 60 degrees and 70 degrees.