1 Answer

Janick Bernet · Answer 1 · 2023-08-19T04:18:23+0000

Answer:

75°

Explanation:

Quadrilateral ABCD is a parallelogram.

$\implies seg\: AB|| seg\: DC$

(Opposite sides of a parallelogram)

$\implies m\angle A + m\angle B=180\degree$

(Interior angles on the same side of transversal)

$\implies 105\degree + m\angle B=180\degree$

$\implies m\angle B=180\degree-105\degree$

$\implies m\angle B=75\degree$

$seg \: AB || seg\: EF.....(Given)$

$\implies m\angle B =m\angle BEF$

(Alternate angles)

$\implies 75\degree =x$

$\implies \huge\red{\boxed{x =75\degree}}$

Please log in or register to add a comment.