Answer:
s measures 33° and t measures 57°.
Step-by-step explanation:
Since the two angles s and t are complementary, this implies that:
[tex]m\angle s+m\angle t=90[/tex]
We are given that t is 9 less than twice s. Hence:
[tex]m\angle t=2m\angle s-9[/tex]
We can substitute this into the first equation:
[tex]m\angle s+(2m\angle s-9)=90[/tex]
Solve for s. Combine like terms:
[tex]3m\angle s-9=90[/tex]
Adding 9 to both sides yields:
[tex]3m\angle s=99[/tex]
And dividing both sides by 3 gives us that:
[tex]m\angle s=33^\circ[/tex]
Returning to our second equation, we have:
[tex]m\angle t=2m\angle s-9[/tex]
So:
[tex]m\angle t=2(33)-9=66-9=57^\circ[/tex]
So, s measures 33° and t measures 57°.
Answer:
Two complementary angles have measures of `s` and `t`.
Hence, s+t=90°
`t` is 9 less than twice `s`, t=2s-9
According to the above problem,
→s+t=90
→s+2s-9=90
→3s=99
→s=99/3
→s=33
