# Three angles in triangle

by Michelle1

If one angle is 57 degrees and the second is 2 times the third, what are the three angles?

The sum of the angles in a triangle is equal to 180.

Let 57 be the first angle

Let y be the second angle

Let z be the third angle

57 + y + z = 180

The second is 2 times the third or y = 2z

57 + 2z + z = 180

57 + 3z = 180

57 - 57 + 3z = 180 - 57

3z = 123

z = 123/3

z = 41

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