Answer:
x = 70
Step-by-step explanation:
1. First, we need to know that the angle with 45 degrees and the angle with (2x-5) degrees are same-side interior angles, meaning they add up to 180 degrees. The equation of this can be written as so: [tex]2x-5+45= 180[/tex]
2. (Solving)
Step 1: Combine like terms.
- [tex](2x) +(-5+45) = 180[/tex]
- [tex]2x + 40 = 180[/tex]
Step 2: Subtract 40 from both sides.
- [tex]2x + 40 - 40 = 180 - 40[/tex]
- [tex]2x = 140[/tex]
Step 3: Divide both sides by 2.
- [tex]\frac{2x}{2} = \frac{140}{2}[/tex]
- [tex]x = 70[/tex]
Step 4: Check if solution is correct.
- [tex]2(70) - 5 + 45 = 180[/tex]
- [tex]140 - 5 + 45 = 180[/tex]
- [tex]135 + 45 = 180[/tex]
- [tex]180 = 180[/tex]
Therefore, x = 70.
