Question

help whats the answer !!!

Answer 1

`\angle n=69^o`

which agrees with answer C in your list of possible options.

Explanation:

Notice that you have a triangle defined by the three intersecting lines, and for which you know the internal angles, since you can use supplementary angle properties as well as the property of addition of all internal angles of a triangle. Please see attached image.

Notice that the angles noted in green are those that were obtained via supplementary angle calculation, while the angle noted on orange was obtained using the addition of all internal angles of a triangle.

`180^o-131^o=49^o\\180^o-160^o=20^o\\180^o-49^o-20^o=111^o`

`\angle n` can then be obtained based on supplementary angles as well;

`\angle n=180^o-111^o=69^o`