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
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