# geometry

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How do you find each angle of a triangle if its angles are in the ratio 1:3:6?

• geometry -

1 = X Deg.
3 = 3x Deg,
6 = 6x Deg.

X + 3X + 6X = 180 Deg.
10X = 180,
X = 18 Deg.
3X = 3 * 18 = 54 Deg.
6X = 6 * 18 = 108 Deg.

• geometry -

You know their sum must add up to 180
let the angles be x, 3x and 6x

solve x + 3x + 6x = 180

sub the value of x back into the definitions

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