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.

Question

asked Nov 8, 2021 65.3k views

1 Answer

Numan · Answer 1 · 2021-11-12T11:05:02+0000

Answer:

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