Respuesta :

DeanR

I started this one then got busy with other things.


z and 71 deg form a same side interior pattern


they're supplementary angles


sum to 180 degrees


z + 71 = 180


z = 180 - 71


z = 109 degrees


z and x are alternate angles


their measures are the same


z = 109 deg so x = 109 deg


y and 71 deg form adjacent angles which are supplementary


sum to 180 degrees


y = 180 - 71 = 109 deg


x = 109 deg, y = 109 deg, z = 109 deg


Part b


w and 88 form a supplementary pair


they add to 180 deg


w = 180 - 88 = 92 deg


v and 101 deg are vertical or opposite angles


They are congruent


So v = 101 deg