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Potapuff · Answer 1 · 2016-03-11T19:18:46+0000

x, y - the angles

The measures of the angles in a linear pair add up to 180°.

$x+y=180 \\ y=180-x$

The ratio of x to y is 6:4.

$(x)/(y)=(6)/(4) \\ \\ (x)/(180-x)=(6)/(4) \\ 4x=6(180-x) \\ 4x=1080-6x \\ 4x+6x=1080 \\ 10x=1080 \\ x=108 \\ \\ y=180-x=180-108=72$

The measures of the angles are: 108° and 72°.

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