Given: Find: , , and 1 2 3 4 m n
Given: Find: , , and
123 4
m
n
Given: Find: , , and and are vertical angles and therefore congruent
m
n
123 4
Given: Find: , , and and are vertical angles and therefore congruent
and form a linear pair, so they are supplementary
m
n
123 4
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
m
n
123 4
Given: and Find: and
123 4
m
n
Given: and Find: and and form a linear pair, so they are supplementary 12
3 4m
n
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
123 4
m
n
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
Simplify:
123 4
m
n
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
Simplify:
Solve for x:
123 4
m
n
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
Simplify:
Solve for x:
123 4
m
n
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
123 4
m
n
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
123 4
m
n