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4 : 5 : 6
We know that the angles of the triangles add up to 180°

So do this ratio:
4a : 5a : 6a = 180°
4a + 5a + 6a = 180
15a = 180

Divide by 15:
[tex] \frac{15a}{15} [/tex] = [tex] \frac{180}{15} [/tex]
15 and 15 cancels out

a = 12

Plug in a:

4a : 5a : 6a
4(12) : 5(12) : 6(12)
48 : 60 : 72

These are the measure of the angles.
48°
60°
72°

check:
48 + 60 + 72 = 180
180 = 180

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