Answer:
k = 13
Step-by-step explanation:
1. A straight angle is equal to 180 degrees, and a right angle is 90 degrees. With this information and the angles of (4k-7) and (3k+6), we can build an equation of:
- [tex]4k-7+90+3k+6=180[/tex]
2. (Solving)
Step 1: Combine like terms.
- [tex]4k - 7 + 90 + 3k + 6 = 180[/tex]
- [tex](4k+3k) + (-7+90+6) = 180[/tex]
- [tex]7k + 89 = 180[/tex]
Step 2: Subtract 89 from both sides.
- [tex]7k + 89 - 89 = 180 - 89[/tex]
- [tex]7k = 91[/tex]
Step 3: Divide both sides by 7.
- [tex]\frac{7k}{7} = \frac{91}{7}[/tex]
- [tex]k = 13[/tex]
