$\"\"$

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The given angles are $\"\"$ .

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Since $\"\"$ . So, $\"\"$ are congruent angle.

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$\"\"$ ( $\"\"$ are congruent angle)

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$\"\"$ (Definition of congruent angles) $\"\"$ $\"\"$ (Substitute $\"\"$ ) $\"\"$ (Subtract 5x from each side)

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$\"\"$ (Apply commutative property of addition: $\"\"$ ) \ \

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$ $\"\"$ (Add 23 to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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

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$\"\"$ (Divide each side by 3)

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$\"\"$ (Cancel common terms)

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

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Substitute value of x in $\"\"$ to measure the angle.

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$\"\"$ (Given)

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$\"\"$ (Substitute x = 11)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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The measure of $\"\"$ is 65.