Answer :
x, y - the angles
The measures of the angles in a linear pair add up to 180°.
[tex]x+y=180 \\ y=180-x[/tex]
The ratio of x to y is 6:4.
[tex]\frac{x}{y}=\frac{6}{4} \\ \\ \frac{x}{180-x}=\frac{6}{4} \\ 4x=6(180-x) \\ 4x=1080-6x \\ 4x+6x=1080 \\ 10x=1080 \\ x=108 \\ \\ y=180-x=180-108=72[/tex]
The measures of the angles are: 108° and 72°.
The measures of the angles in a linear pair add up to 180°.
[tex]x+y=180 \\ y=180-x[/tex]
The ratio of x to y is 6:4.
[tex]\frac{x}{y}=\frac{6}{4} \\ \\ \frac{x}{180-x}=\frac{6}{4} \\ 4x=6(180-x) \\ 4x=1080-6x \\ 4x+6x=1080 \\ 10x=1080 \\ x=108 \\ \\ y=180-x=180-108=72[/tex]
The measures of the angles are: 108° and 72°.
