find the value of variable x

Answer:
[tex]x=33[/tex]
Step-by-step explanation:
Since all three angles marked form one side of a line, they must add up to 180 degrees. Therefore, we have the following equation:
[tex]90+(x+1)+(3x-43)=180,\\x+1+3x-43=90,\\4x-42=90,\\4x=132,\\x=\boxed{33}[/tex]
Answer:
x=33
Step-by-step explanation:
The three angles form a straight line, which is 180 degrees
90+ x+1 + 3x-43 = 180
Combine like terms
4x+48 = 180
Subtract 48 from each side
4x+48-48 = 180-48
4x = 132
Divide by 4
4x/4 = 132/4
x=33