Answer:
a = 65°
b = 115°
c = 65°
d = 65°
e = 115°
Step-by-step explanation:
The parallel symbols are used incorrectly.
The parallel symbols show that all sides of the quadrilateral are parallel which is impossible.
I assume that what was meant is that opposite sides are parallel.
You should place one arrowhead on each of two opposite sides, and 2 arrowheads on each of the other two opposite sides.
That makes the quadrilateral a parallelogram.
In a parallelogram, opposite angles are congruent.
Angle a:
a + 20° + a + 210° = 360°
2a + 230° = 360°
2a = 130°
a = 65°
Angle b:
Angles a and b are consecutive angles of a parallelogram, so they are supplementary.
a + b = 180°
65° + b = 180
b = 115°
Angle c:
Angles a and c are opposite angles of a parallelogram.
a = c
c = 65°
Angle d:
Angles c and d are corresponding angles of parallel lines cut by a transversal, so they are congruent.
d = c
d = 65°
Angle e:
Angles c and e are a linear pair, so they are supplementary.
c + e = 180°
65° + e = 180°
e = 115°
