Angles in a triangle

The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°.

What sizes have other angles in a triangle?

Result

α =  37 °
β =  60 °

Solution:

Solution in text α =
Solution in text β =

a+b+c = 180
b = a + d
c = a + 2d
c = 83

a+b+c = 180
a-b+d = 0
a-c+2d = 0
c = 83

a = 37
b = 60
c = 83
d = 23

Calculated by our linear equations calculator.







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Following knowledge from mathematics are needed to solve this word math problem:

Looking for help with calculating arithmetic mean? Looking for a statistical calculator? Do you have a system of equations and looking for calculator system of linear equations? See also our trigonometric triangle calculator.

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