Answer:
[tex]\huge\boxed{\angle A = 65, \angle B = 55}[/tex]
Step-by-step explanation:
We can treat each of these angle equations as if they are the real angle measures.
We know these angles add up to 120°, so we can create an addition statement:
[tex](3x+5) + (2x+15) = 120[/tex]
We can then solve for x.
- Combine like terms: [tex]5x + 20 = 120[/tex]
- Subtract 20 from both sides: [tex]5x = 100[/tex]
- Divide both sides by 5: [tex]x = 20[/tex]
Now that we know x = 20, we can substitute it into both equations for each angles and find it.
∠A = [tex]3x+5\\ 3 \cdot 20 + 5\\60+5\\65[/tex]
∠B = [tex]2x+15\\2\cdot 20 + 15\\ 40+15\\55[/tex]
We can test that this is right because 65+55 = 120.
Hope this helped!
