Answer :

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°