Given: Find: , , and

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Given: Find: , , and and are vertical angles and therefore congruent

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Given: Find: , , and and are vertical angles and therefore congruent

and form a linear pair, so they are supplementary

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Given: Find: , , and and are vertical angles and therefore congruent

and form a linear pair, so they are supplementary

and are vertical angles and therefore congruent

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Given: and Find: and

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Given: and Find: and and form a linear pair, so they are supplementary 12

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

Simplify:

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

Simplify:

Solve for x:

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

Simplify:

Solve for x:

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

Simplify:

Solve for x:

Substitute to find

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Given: and Find: and and form a linear pair, so they are supplementary

Substituting with the given expressions:

Simplify:

Solve for x:

Substitute to find

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