# 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:

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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#### To solve this example are needed these knowledge from mathematics:

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