Answer:
45
Step-by-step explanation:
1. All angles in a triangle add up to 180°, so that means 30° + (2x + 10)° + 50° = 180.
2. With the equation we just formed, let's solve for x.
Step 1: Simplify both sides of the equation.
- [tex]30 + (2x + 10) + 50 = 180[/tex]
- [tex](2x) + (30+10+50) = 180[/tex]
- [tex]2x + 90 = 180[/tex]
Step 2: Subtract 90 from both sides.
- [tex]2x + 90 - 90 = 180 - 90[/tex]
- [tex]2x = 90[/tex]
Step 3: Divide both sides by 2.
- [tex]\frac{2x}{2} = \frac{90}{2}[/tex]
- [tex]x = 45[/tex]
3. Now that we got the value of x, let's test it to see if it really is the correct answer.
- [tex]30 + (2*45+10) + 50 = 180[/tex]
- [tex]30 + (90 +10) + 50 = 180[/tex]
- [tex]30 + 100 + 50 = 180[/tex]
- [tex]130 + 50 =180[/tex]
- [tex]180 = 180[/tex]
Nice! This means that our answer is correct.
Therefore, x = 45.