Question

Find the value of variable x

Answer 1

`x=33`

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:

`90+(x+1)+(3x-43)=180,\\x+1+3x-43=90,\\4x-42=90,\\4x=132,\\x=\boxed{33}`

Answer 2

x=33

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