$\"\"$

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From the diagram the angles are $\"\"$ .

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In a triangle sum of the angles are $\"\"$ .

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$\"\"$

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$\"\"$ (Combine like terms)

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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$\"\"$ (Subtract 54 from each side)

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$\"\"$ (Apply addiitve inverse propetry: $\"\"$ )

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$\"\"$ (Apply addiitve identity propetry: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ )

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So, $\"\"$ .

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$\"\"$ , $\"\"$ , $\"\"$ .

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So,the angle measures are $\"\"$ . $\"\"$

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The value of x is $\"\"$ . The angle measures are $\"\"$ .

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$\"\"$ are acute angles. So,the triangle is an acute triangle.