example applications of theorems
TRANSCRIPT
![Page 1: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/1.jpg)
Given: Find: , , and
123 4
m
n
![Page 2: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/2.jpg)
Given: Find: , , and and are vertical angles and therefore congruent
m
n
123 4
![Page 3: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/3.jpg)
Given: Find: , , and and are vertical angles and therefore congruent
and form a linear pair, so they are supplementary
m
n
123 4
![Page 4: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/4.jpg)
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
![Page 5: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/5.jpg)
Given: and Find: and
123 4
m
n
![Page 6: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/6.jpg)
Given: and Find: and and form a linear pair, so they are supplementary 12
3 4m
n
![Page 7: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/7.jpg)
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
123 4
m
n
![Page 8: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/8.jpg)
Given: and Find: and and form a linear pair, so they are supplementary
Substituting with the given expressions:
Simplify:
123 4
m
n
![Page 9: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/9.jpg)
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
![Page 10: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/10.jpg)
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
![Page 11: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/11.jpg)
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
![Page 12: Example applications of theorems](https://reader036.vdocuments.site/reader036/viewer/2022062503/58a344051a28ab62248b52df/html5/thumbnails/12.jpg)
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