Answer :
Answer:
Part 1) 72 degrees
complement [tex]18\°[/tex] and supplement [tex]108\°[/tex]
Part 2) 125 degrees
complement [tex]-35\°[/tex] and supplement [tex]55\°[/tex]
Part 3) -45 degrees
complement [tex]135\°[/tex] and supplement [tex]225\°[/tex]
Step-by-step explanation:
we know that
Two angles are complementary if their sum is equal to 90 degrees
Two angles are supplementary if their sum is equal to 180 degrees
Part 1) 72 degrees
Let
x-----> the complement
y-----> the supplement
so
Find the complement
[tex]x+72\°=90\°[/tex]
solve for x
[tex]x=90\°-72\°=18\°[/tex]
Find the supplement
[tex]y+72\°=180\°[/tex]
solve for y
[tex]y=180\°-72\°=108\°[/tex]
Part 2) 125 degrees
Let
x-----> the complement
y-----> the supplement
so
Find the complement
[tex]x+125\°=90\°[/tex]
solve for x
[tex]x=90\°-125\°=-35\°[/tex]
Find the supplement
[tex]y+125\°=180\°[/tex]
solve for y
[tex]y=180\°-125\°=55\°[/tex]
Part 3) -45 degrees
Let
x-----> the complement
y-----> the supplement
so
Find the complement
[tex]x+(-45\°)=90\°[/tex]
solve for x
[tex]x=90\°+45\°=135\°[/tex]
Find the supplement
[tex]y+(-45\°)=180\°[/tex]
solve for y
[tex]y=180\°+45\°=225\°[/tex]