SOLUTION: the angles of a triangle area in ap if the smallest angles is 40 find the angles of the triangle

Question 795737: the angles of a triangle area in ap if the smallest angles is 40 find the angles of the triangle

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the smallest angle measures , and the measures of the angles are in arithmetic progression, the measures of the angles (in degrees) must be
, , and ,
with = common difference between consecutive terms of the arithmetic progression.

Since the measures of all 3 angles of a triangle add up to ,

So the measures of the angles (in degrees) are:
(as given)
, and

NOTE:
AP or ap may be commonly understood to mean arithmetic progression in some countries, but in the USA, AP means Advanced Placement (courses and exams), and arithmetic progressions are called arithmetic sequences.
Math is almost a universal language, but not quite.
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