Answer:
[tex]\huge\boxed{3 = 57 \textdegree}[/tex]
[tex]\huge\boxed{4 = 33 \textdegree}[/tex]
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
[tex](x+24) + (x) = 90[/tex]
Now we can solve for x.
- [tex]2x+24=90[/tex]
- [tex]2x=66[/tex]
- [tex]x = 33[/tex]
Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.
[tex]33+24\\\\57[/tex]
Hope this helped!
