Answer:
x = 72 , y = 108
Step-by-step explanation:
2x and
are adjacent angles on a straight line and sum to 180° , that is
2x +
= 180 ( multiply through by 2 to clear the fraction )
4x + x = 360
5x = 360 ( divide both sides by 5 )
x = 72
--------------------------
=
= 36
and
are vertically opposite and are congruent , then
= 36 ( multiply both sides by 3 )
y = 108