Question

The question is attached in the picture below. Pls help ASAP

Answer 1

Answer is x = 45
Reason
The square box indicates 90 degree angle so the remaining area (5x + x) is equal to 360-90= 270
So
5x + x = 270
6x = 270
Isolate x by dividing both sides by 6
X = 45

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{Your temporary equation: }`

`\mathsf{5x + x = \ ?}`

`\huge\textbf{We know: }`

`\large\textbf{That ONE angle equals 90}^\circ\large\textbf{ and the whole entire angle is}\\\large\textbf{360}^\circ.`

`\huge\textbf{Knowing that much information, we can}\\\\\huge\textbf{make the equation much easier to solve.}\\\\\\\huge\textbf{We will simplify the angle sides and it}\\\\\huge\textbf{should give you the answer behind the}\\\\\huge\textbf{the equal sign.}`

`\mathbf{360^\circ - 90^\circ = \boxed{\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign}}}`

`\huge\textbf{Simplify it!}`

`\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign = \boxed{\bf 270}}}}`

`\huge\textbf{New equation:}`

`\mathbf{5x + x = 270^\circ}`

`\huge\textbf{COMBINE the LIKE TERMS:}`

`\mathbf{(5x + x) = 270^\circ}`

`\mathbf{5x + x = 270^\circ}`

`\huge\textbf{Remember a variable by itself is}\\\\\huge\textbf{understood as an invisible 1.}`

`\huge\textbf{Anyway, back to answering the equation}`

`\mathbf{5x + x}`

`\mathbf{= 5x + 1x}`

`\mathbf{= 6x}`

`\huge\textbf{New equation:}`

`\mathbf{6x = 270^\circ}`

`\huge\textbf{DIVIDE 6 to BOTH SIDES:}`

`\mathbf{(6x)/(6)=(270)/(6)}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathbf{x = (270)/(6)}`

`\mathbf{x = 45}`

`\huge\textbf{Answer:}`

`\huge\boxed{\mathsf{x = 45}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`