we know that
Supplementary angles are those angles whose sum is equal to [tex] 180 [/tex] degrees and vertical angles are angles that are congruent.
so
Let
x--------> the first angle
y--------> the second angle
so
[tex] x=y [/tex] --------> equation [tex] 1 [/tex]
[tex] x+y=180 [/tex] --------> equation [tex] 2 [/tex]
Substitute equation [tex] 1 [/tex] in equation [tex] 2 [/tex]
[tex] x+[x]=180 [/tex]
[tex] 2x=180 [/tex]
[tex] x=90 [/tex]
[tex] y=90 [/tex]
therefore
the answer is
the angles are right angles
