$\"\"$

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The angles are given that in the circle A,

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$\"\"$

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$\"\"$

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$\"\"$ (Apply Angle sum theorem)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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

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$\"\"$ (Subtract 30 from each side)

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$\"\"$

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

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$\"\"$ (Divide each side by 15)

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$\"\"$ (Cancel common terms) \ \

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

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$\"\"$

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Use the value of x to find the measures of $\"\"$ and $\"\"$

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$\"\"$ (Substitute $\"\"$ )

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

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

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

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

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The angles are given that in the circle A,

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$\"\"$

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$\"\"$

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$\"\"$ (Apply Angle sum theorem)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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

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$\"\"$ (Add 34 to each side)

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$\"\"$ (Simplify)

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

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$\"\"$ (Divide each side by 7)

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$\"\"$ (Cancel common terms)

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

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Use the value of y to find the measures of $\"\"$ and $\"\"$

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$\"\"$ (Substitute $\"\"$ )

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

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

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

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

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$\"\"$

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The values are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .