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

Asked by  | 5th Sep, 2012, 08:21: PM

Expert Answer:

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.

Answered by  | 5th Sep, 2012, 10:45: PM

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