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Answer :

Answer:

x = 118°

Step-by-step explanation:

[tex]y + {90}^{o} = {180}^{o} \: (interior \: angles) \\ y = {180}^{o} - {90}^{o} \\ y = {90}^{o} \\ [/tex]

Sum of interior angles of a Square is 360°

[tex]x + (x - {56}^{o} ) + y + {90}^{o} = {360}^{o} \\ x + x - {56}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ 2x + {124}^{o} = {360}^{o} \\ 2x = {360}^{o} - {236}^{o} \\ 2x = {236}^{o} \\ x = \frac{ {236}^{o} }{2} \\ x = {118}^{o} \\ [/tex]

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