Question

Main street intersects oak road. If a right-hand turn onto oak road requires a 77 degree turn, what degree must a left-hand turn onto oak road make.

Answer 1

The measured from a left-hand turn on the oak road must be 103 degrees

Explanation:

Let

x ----> measured in degrees from a left-hand turn on the oak road

y ----> measured in degrees from a right-hand turn on the oak road

we know that

`m\angle x+m\angle y=180^o` ----> by supplementary angles (form a linear pair)

we have

`m\angle y=77^o` ---> given problem

substitute

`m\angle x+77^o=180^o`

solve for
`m\angle x`

`m\angle x=180^o-77^o\\m\angle x=103^o`

therefore

The measured from a left-hand turn on the oak road must be 103 degrees