Respuesta :

angles a and b must add up to 180 degrees. So the angles are 40, 140, 40, 140

The angles of parallelogram are 40°, 140°, 40°, 140°.

What is parallelogram?

A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.

For the given situation,

One angle of parallelogram = 40°

Let the unknown angle be 'x'

The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.

⇒ [tex]40+x=180[/tex]

⇒ [tex]x=140[/tex]

The opposite interior angles are equal.

Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.

Learn more about the parallelogram here

https://brainly.com/question/25999877

#SPJ2