Respuesta :

Answer:

47

Step-by-step explanation:

Angles B and D are equal.

Angles A and C are equal.

Anges in parallelogram add up to 360°

5x+38=8x-19

57=3x

x=19

B=(5×19)+38=133°

D=(8×19)-19=133°

A+C=360-133-133

A+C=94

A and C are the same so you can do 94/2=

Therefore, both angles A and C are 47 :D

The measure of angle c in the parallelogram is 47°.

What is a parallelogram?

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.

∠B = ∠D (opposite angles are equal)

8x - 19 = 5x + 38

x = 19

∠B = 5(19) + 38 = 133°

∠C + ∠B  = 180° (base angles of parallelogram_

∠C + 133 = 180

∠C = 47°

The measure of angle c in the parallelogram is 47°.

Find out more on parallelogram at: https://brainly.com/question/970600