Respuesta :

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral

are supplementary. (Sum up to 180°)

Hence alpha + 50° = 180°,

Alpha angle = 130°.

Answer:

Sum of the opposite angles of a cyclic quadrilateral is 180°

[tex] \alpha + 50 = 180 \\ \alpha = 180 - 50 \\ \boxed{\alpha = 130}[/tex]

130° is the right answer.