Respuesta :
i dotn believe that a pair of angles can be vertical and supplementary. because vertical angles are across from each other, and supplementary angles are two angles next to each other (adjacent) that have a sum of 180. im not sure how to give an example/nonexample.
a pair of angles that are verttical are across from each other
example, lets say yo had a clock
draw a straight line from 3 to 9
then draw another line from 12 to 6
you have 4 ninety degree angles
the angle vertical angle pairs are
(12 to 3 with 6 to 9)
and
(3 to 6 with 9 to 12)
vertical angles have te same measrue
supplementary angles are adding to 180
so is is possible to have 2 vertical angles that are supplementary means
is it possible to have 2 angles of equal measure that add to 180?
basically
x+y=180
x=y
so
x+x=180
2x=180
divide by 2
x=90
x=y
y=90
the answer is YES
if they are both 90 degree angles
example, lets say yo had a clock
draw a straight line from 3 to 9
then draw another line from 12 to 6
you have 4 ninety degree angles
the angle vertical angle pairs are
(12 to 3 with 6 to 9)
and
(3 to 6 with 9 to 12)
vertical angles have te same measrue
supplementary angles are adding to 180
so is is possible to have 2 vertical angles that are supplementary means
is it possible to have 2 angles of equal measure that add to 180?
basically
x+y=180
x=y
so
x+x=180
2x=180
divide by 2
x=90
x=y
y=90
the answer is YES
if they are both 90 degree angles