Answer:
Smaller angle = 12° and larger angle = 168°.
Step-by-step explanation:
It is given that the two angles are supplementary. It means their sum of 180°.
Let x be smaller angle.
The larger angle is 48 degrees more than 10 times the smaller angle.
Larger angle = [tex]10x+48[/tex]
Since both angles are supplementary angles, so
Smaller angle + Larger angle = 180°
[tex]x+(10x+48)=180[/tex]
[tex]x+10x+48=180[/tex]
Combined line terms.
[tex]11x+48=180[/tex]
Subtract 48 from both sides.
[tex]11x=180-48[/tex]
[tex]11x=132[/tex]
Divide both sides by 11.
[tex]x=12[/tex]
The value of x is 12. It means the smaller angle is 12°.
Larger angle = [tex]10x+48=10(12)+48=120+48=168[/tex]
Therefore the larger angle is 168°.
