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Step1: Set up equation
Since the sum of the three - angle measures equals 90° (right - angle), we have the equation $(x + 3)+(x - 1)+(x + 1)=90$.
Step2: Simplify the left - hand side
Combine like terms: $x+3+x - 1+x + 1=(x+x+x)+(3 - 1+1)=3x + 3$. So the equation becomes $3x+3 = 90$.
Step3: Solve for x
Subtract 3 from both sides: $3x+3−3 = 90−3$, which gives $3x=87$. Then divide both sides by 3: $\frac{3x}{3}=\frac{87}{3}$, so $x = 29$.
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$x = 29$