Answer:
x = 45
Step-by-step explanation:
The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of [tex]2x + 45 + x = 180[/tex] and solve it.
Step 1: Combine like terms.
- [tex](2x+x)+45=180[/tex]
- [tex]3x+45=180[/tex]
Step 2: Subtract 45 from both sides.
- [tex]3x + 45 - 45 = 180 - 45[/tex]
- [tex]3x = 135[/tex]
Step 3: Divide both sides by 3.
- [tex]3x/3 = 135/3[/tex]
- [tex]x = 45[/tex]
Step 4: Check if solution is correct.
- [tex]2(45) + 45 + 45 = 180[/tex]
- [tex]90 + 90 = 180[/tex]
- [tex]180=180[/tex]
Therefore, x = 45.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
